Ask a New Question
Menu

This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

1 answer

for the first one:

sin^2 Ø + cos^2 Ø = 1
divide each term by cos^2 Ø
sin^2 Ø/cos^2 Ø + cos^2 Ø/cos^2 Ø = 1/cos^2 Ø
tan^2 Ø + 1 = sec^2 Ø, (since 1/cosx = secx)

do the 2nd by dividing each term by sin^2 Ø

How to remember them?
Just memorize them.
Similar Questions
  1. QuestionUse the polynomial identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to generate a Pythagorean triple when x equals 7 and y
    1. answers icon 2 answers
  2. Prove each identity:a) 1-cos^2x=tan^2xcos^2x b) cos^2x + 2sin^2x-1 = sin^2x I also tried a question on my own: tan^2x = (1 –
    1. answers icon 1 answer
  3. Blake is told that an angle has a cosine of −16√and is in Quadrant III. Use the Pythagorean identity sin2(θ)+cos2(θ)=1 ,
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions