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Newest Trigonometric Identities Questions

1. QUESTION 44.1 Simplify, without using a calculator: 4.1.1 𝑠𝑖𝑛 (−135°)·𝑠𝑖𝑛 240°·𝑐𝑜𝑠
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2. for which value of 0 is tan 0 equal to sin 0?pi/2 2/pi pi/3 3pi/2
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3. Which of the following are true? Select all that apply.A. tan(theta)= cos(theta)/sin(theta) B. cot(theta)= cos(theta)/sin(theta)
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4. 1.Verify the basic identity. What is the domain of validity? Cot θ = cos θ csc θ 2. Verify the identity. Justify each step.
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5. Theta and alpha are each acute angles in standard position.Sin theta =3/5 and cos alpha=12/13 determine cos(alpha+theta)
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6. Theta and alpha are each acute angles in standard position. Sin theta=3/5 and cos alpha=12/13. Determine cos(alpha+theta)
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7. Use the Pythagorean Identity first and then the Tangent Identity to find tanθ if cosθ=-1/2 and θ terminates in Quadrant II.
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8. Enter your answer and show all the steps that you use to solve this problem in the space provided.Verify the identity. Justify
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9. Show that sin(x+pi)=-sinx Show all of your work
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10. Reduce cos 1102∘to the sine of an acute angle sin ....∘
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11. Sin 2x / 2 sin x + cos2 x -1=1 + sign x / cosx
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    2. 56 views
12. Use the fundamental identities to simplify the expression.cos(pi/2 - x) * sec(x)
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    2. 75 views
13. Use the Pythagorean identity sin^2 * 0 + cos^2 * 0 =1 to find cosθ. The angle θ is an acute angle.sin0 = square root of 2/4
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    2. asked by Bingus
    3. 63 views
14. Simplify tanx cscx
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    2. 55 views
15. cos(2x)/1−sin(2x) = cos x+sin x/cos x−sin x
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16. 45) Prove the following identities. Use a separate piece of paper.a) sec x − tan x = 1−sinx cos x b) (csc x − cot x) 2 =
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    2. 97 views
17. Given sine, theta, equals, minus, start fraction, square root of, 11, end square root, divided by, 6, end fractionsinθ=−6 11
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18. Given sine, theta, equals, minus, start fraction, square root of, 15, end square root, divided by, 4, end fractionsinθ=− 4 15
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    2. 91 views
19. Jacques is told that an angle has a cosine of 5√/4 and is in Quadrant IV. Use the Pythagorean identity sin2(θ)+cos2(θ)=1 and
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    2. 100 views
20. prove tan(A/2) = (1 - cos(A))/sin(A)
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    2. asked by "Thoughtwaves "
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21. Let $x$ be an acute angle such that $\tan x + \sec x = 2 \cot x + \csc x.$ Find $\cos x$.
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    2. asked by becky
    3. 74 views
22. cos a - tan a * cos ((3pi/2) - a) = sec a
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    2. asked by Emmli
    3. 70 views
23. Suppose sin(4) -Use the trig identity sin² (A) + cos2 (4) - 1 to find cos(4) in quadrant I. Show all steps and round to
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    2. 135 views
24. If tan x =5/12,0 degrees < x < 90 degrees.evaluate,without using mathematical tables or calculator, sin X/(sin X)^2 + cos x
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    2. 196 views
25. Given that sin(𝐴 + 𝐵) = sin 𝐴 cos𝐵 +cos 𝐴 sin𝐵, find the value of sin 105 °. A. √42 (√3 + 1) B. √42
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    2. asked by Benny
    3. 115 views
26. cos θ (1-cosθ) = sin θ sinθ2 2
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    2. asked by chants
    3. 141 views
27. 1. (sin θ - cos θ)^22. sec^2 θ - tan^2 θ - sin^2 θ Can you please show the step by step process of how to simply both?
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    2. asked by n
    3. 116 views
28. Use the appropriate quotient identity to find the value of tan(θ), if sin(θ) = 1/4 and cos(θ) = 1/3. Give your answer as a
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    2. asked by Monica
    3. 148 views
29. if cosx=-12/13 and tany =8/15, pi/2<x<pi, pi<x<3pi/2 evaluate the followinga) cos(x-y) b)tan2x
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    2. asked by David
    3. 181 views
30. prove that cos^2 theta +tan theta cosec theta=cos theta
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    2. asked by Blossom
    3. 236 views
31. solve:cos^4(x)-sin^4(x)=cos(2x) cos(4x)=cos^2(x)-sin^2(x)
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    2. asked by jennie
    3. 354 views
32. prove thatsin(pi/2 - x)cot(pi/2 + x) = -sinx
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    2. asked by urgent
    3. 337 views
33. If sin theta = 2/7 and theta is in quadrant 2 find cos theta, sec theta, csc theta, tan theta, and cot theta
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    2. asked by marcella
    3. 914 views
34. Suppose that sin(t) = x/(x + 3)Use this information and a reference triangle to eliminate the trigonometric function from the
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    2. asked by Calie
    3. 956 views
35. If cos ⁡x=−4/5, and π<x<3π2, what is sin⁡(x+π/2)?i really need help...
    1. 5 answers
    2. asked by frog
    3. 367 views
36. What can you do to the equation sin^2(θ)+2θ+cos^2(θ)=1 to get the identity 1+cot^2(θ)=csc 2^(θ)?There may be more than one
    1. 3 answers
    2. asked by frog
    3. 402 views
37. Explain why some trigonometric identities have restrictions or non-permissiblevalues. What are the restrictions for each of the
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    2. asked by dennyelle
    3. 681 views
38. Given sin A = 3/5, cos B = -24/25, 90° < A < 180°, 180° < B < 270°Find tan(B - A)
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    2. asked by Alex
    3. 1,076 views
39. Evaluate: cosA = 3/5; <A in Quadrant IV, and sinB = -12/13; <A in Quadrant III1.) sin(A-B) 2.) tan(A+B)
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    2. asked by Kirito
    3. 312 views
40. how do you find the exact value tan(x+y), sinx = (3/5) and secy = (-13/5)
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    2. asked by nani
    3. 325 views
41. given that tan 4pi/7 = 5.6513, determine the followinga (cot)pi/18 b (tan)13pi/9
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    2. asked by Anonymous
    3. 1,120 views
42. Use your knowledge of the half-angle and double-angle identities to simplify the following(4sin(2a))-(2sin(2a))(4sin^2(a))
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    2. asked by Addi
    3. 512 views
43. How would I find cos(u/2) if sec u =13.465 and u is in Quadrant-IV (assume that 0<u<2π) ?cos(u/2)=___
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    2. asked by Mira
    3. 588 views
44. Given that cosA=4/5 and sinB=15/17 where A and B are acute angles,find the value of cos(A-B)
    1. 2 answers
    2. asked by Kealeboga
    3. 1,508 views
45. Find the exact value of cos(u + v) ) given that sin u= 9/41 cos nu=- 15/17 . (Both u and v are in Quadrant II.)
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    2. asked by Matt
    3. 2,956 views
46. If sin x = 1/5 with x in QII , find cos(x/2)
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    2. asked by sam
    3. 455 views
47. Find the exact value of cos(2θ)and sin(2θ) if tan(θ) = (-5/12) and 270° < θ < 360
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    2. asked by rainbow
    3. 1,089 views
48. If sinA=3/5 when pi/2 < A < pi and cosB=5/13 when 3pi/2 < B < 2pi, find the exact value of the function cos(5pi/6+B).
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    2. asked by Serein
    3. 1,716 views
49. Establish each identity. I would like to check my answers to make sure it's right :) Thank you!1)
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    2. asked by Elli
    3. 437 views
50. Given that tan xº = 3/7 ,find cos (90 - x)º giving the answer to 4 significant figures.
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    2. asked by King
    3. 1,364 views
51. if sin θ = -7/13 and cos θ= 12/13, find tan θ and cot θ using Quotient Identities.
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    2. asked by matt
    3. 1,178 views
52. (Sec(theta)*sin(theta))/(tan(theta)+cot(theta))=sin^2(theta)
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    2. asked by PLEASE HELP
    3. 3,863 views
53. If sin ⁡x= 7/25, and 0 <x< π/2, what is tan⁡(x − π/4)?I don't get how to do this. We're talking about the "Difference
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    2. asked by Stevie
    3. 1,100 views
54. Find the EXACT value of sin(2A) if cscA=5/4Assume A is a Quadrant I angle in standard position. sin(2A+=
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    2. asked by math
    3. 631 views
55. Expand cos(50°) using a double angle identity
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    2. asked by math
    3. 933 views
56. Tan theta over 1 + sec theta + 1 +sec theta over Tan theta= 2 csc theta
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    2. asked by Kevin
    3. 1,467 views
57. Find cos(a+b). sin a = 3/5, a lies in Quadrant I, and cos b = 12/13, b lies in Quadrant I.
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    2. asked by JO
    3. 1,325 views
58. tanx = -3/4. x€ 2nd quadrant find sin (x/2), cos(x/2), tan(x/2)
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    2. asked by Abhijeet
    3. 362 views
59. sinØ (1+ tanØ) + cosØ(1+ cotØ) = (secØ + cosecØ)
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    2. asked by Gagan
    3. 2,464 views
60. Show that sin(x+pi)=-sinx.So far, I used the sum formula for sin which is sin(a+b)=sin a cos b+cos a sin b. sin(x+pi)=sin x cos
    1. 4 answers
    2. asked by girly girl
    3. 1,428 views
61. Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the
    1. 5 answers
    2. asked by girly girl
    3. 6,991 views
62. If cosA + sinA= root2 cosAShow that cosA - sinA= root2 sinA
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    2. asked by kumar
    3. 1,214 views
63. Use half angle indentites to find an exact value without a calculatorCos(11π/12)
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    2. asked by Jacob
    3. 492 views
64. Express the following as a product containing only sines and/or cosines.sin9x−sin7x
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    2. asked by Daemon
    3. 545 views
65. Use the Pythagorean indentities rather than reference triangles. Find tan θ and cot θ if sec θ=8/7 and sin θ <0
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    2. asked by Bill
    3. 540 views
66. Write the following expression as the sine, cosine or tangent of an angle.cos 3x cos 2y + sin 3x sin 2y
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    2. asked by Mariam
    3. 523 views
67. Use the Pythagorean identities rather than reference triangles.Find tanθ and cotθ if secθ = 3/2 and sinθ <0 Please help me ,
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    2. asked by Nathan
    3. 606 views
68. Evaluate using the Pythagorean identities.Find sinθ and cosθ if tanθ = 1/4 and sinθ >0
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    2. asked by Alyssa
    3. 956 views
69. Use the Pythagorean identities rather than reference triangles . Find tanθ and cotθ if secθ = 5/2 and sinθ <0.Please help !
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    2. asked by James
    3. 799 views
70. cotθ=3, cos<0. Find the exact value of sin θ/2 using half-angle formula. Please help!
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    2. asked by Anonymous
    3. 572 views
71. tan4theta = (radical 3) / 3theta = 7pi/24, 13pi/24, 19pi/24 Let me know if im right.
    1. 3 answers
    2. asked by SkiMasktheSlumpGod
    3. 542 views
72. Use the appropriate reciprocal identity to find the approximate value of sin θ for the given value of csc θ. Use a calculator.
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    2. asked by Dave
    3. 4,201 views
73. If sin theta is 8÷17;cos beta is 9÷41 where theta is obtuse and beta is acute. Find sin(theta + beta)
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    2. asked by x
    3. 816 views
74. If tan A=a/b prove that 2sec theta + 1/ cos theta+2=Õ a2+b2/b
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    2. asked by Anonymous
    3. 1,748 views
75. Please help me proof the identity. This isn't even math to me, I can not understand it so please show all work. God blessA)1-cos
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    2. asked by Rachel
    3. 687 views
76. How do I find the value of sin ( A-B)When tan A= 4/3 Cot B= 5/12
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    2. asked by Mary
    3. 568 views
77. Sin^2x/cosx =tanxsinxI need help in verifying also please tell me what identity u started with thank you!
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    2. asked by Sarah
    3. 495 views
78. If 5cosA+3=0 and 180(degrees)<A<360(degrees)Determine 1. Tan^2A And 2. SinA over cosA
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    2. asked by Kaylee
    3. 548 views
79. if secA-tanA =10 than sinA =?,cosA =?,secA =?
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    2. asked by Anonymous
    3. 675 views
80. Consider ∠C such that sin C = 7/25a) What are the possible quadrants in which ∠C may lie? b) If you know that cos C is
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    2. asked by Katie
    3. 941 views
81. prove sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)=tanx
    1. 2 answers
    2. asked by liv
    3. 2,886 views
82. Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).
    1. 1 answer
    2. asked by Iris
    3. 608 views
83. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Cos(A+B).
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    2. asked by Sade
    3. 517 views
84. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B).
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    2. asked by Iris
    3. 465 views
85. Show that the following are not trigonometric identities1.tan 2x = 2tan x 2. sec x= sqr rt 1+tan^2 x 3. sin(x+y)=sin x +sin y
    1. 1 answer
    2. asked by Liv
    3. 889 views
86. Given that cos z=L where z is an acute angle, find an expression for cot z -cosec z÷sec z +tan z
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    2. asked by Salma
    3. 501 views
87. sin u=1/3 and sin v=1/4.Then cos u = sqrt(8)/3 cos v = sqrt(15)/4 sin(u+v) = ?
    1. 4 answers
    2. asked by tor
    3. 671 views
88. Prove That Sin2A+ Sin2B +SIN2C/sinA+SINB+SINC=8sinA/sinB/2COSC/2
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    2. asked by Joel
    3. 999 views
89. Prove that cos^6A+sin^6A=1/4(1+3cos^22A)
    1. 2 answers
    2. asked by raginichakravorty
    3. 1,774 views
90. Write the given expression as the cosine of an angle. cos 60° cos 65° − sin 60° sin 65°
    1. 1 answer
    2. asked by terry
    3. 1,995 views
91. If sin(theta) = 3/7, what is sin (pi/2 - theta)?
    1. 1 answer
    2. asked by Anonymous
    3. 443 views
92. tan(theta)/tan(2theta)-tan(theta)= cos(2theta)
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    2. asked by aaron
    3. 422 views
93. Given sinA=3/5 and cosA=5/13, find sin2x
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    2. asked by Angel
    3. 362 views
94. Verify/prove the following:(sinA+tanA)/(1+secA) = sinA ______________________________ tanu = 1+sinu-cos^2u/cosu(1+sinu)
    1. 1 answer
    2. asked by Kid
    3. 742 views
95. Verify/prove that:sinAcosA/1-cosA = sin^2/tanA-sinA
    1. 1 answer
    2. asked by Kid
    3. 662 views
96. Given sin= -√5/6 with π < u < 3π/2 and cos v= √3/5 with 0 < v < π/2 find sin(u-v) and tan(u+v). Please show work and
    1. 1 answer
    2. asked by Jane
    3. 454 views
97. Find the exact values requested. No decimal approximations.Given that cot θ = 4 for an acute angle θ, A. Find sinθ. B. Find
    1. 1 answer
    2. asked by jre
    3. 1,075 views
98. show that Sin5θ/Sinθ = 16Cospower4 θ – 12Cospower2 θ
    1. 0 answers
    2. asked by Crisusseunayo
    3. 386 views
99. Prove:1) 1 / sec X - tan X = sec X + tan X 2) cot A + tan A = sec A csc A 3)sec A - 1 / sec A + 1 = 1 - cos A / 1 + cos A
    1. 3 answers
    2. asked by Maria Christina
    3. 649 views
100. Given cos 67.5° = [√(2+√2)]/2, find tan 67.5° , simplify where needed, and show work.I'm starting to learn this stuff, and
     1. 2 answers
     2. asked by Jane
     3. 1,172 views