Use the Pythagorean identities rather than reference triangles . Find tanθ and cotθ if secθ = 5/2 and sinθ <0.

Please help ! Much appreciated !!

1 answer

Given any one trigonometric relation, you can obtain the other five using simple identities.

If secθ = 5/2,

(secθ)^2 = (tanθ)^2 + 1 (Trigonometric Identity)
=> (5/2)^2 = (tanθ)^2 + 1
=> 25/4 - 1 = (tanθ)^2
=> 21/4 = (tanθ)^2

If sinθ is negative, and cosθ is positive,

=> tanθ = -(root(21/4))

Now, cotθ = (1/tanθ)
= (1/(21/4))
= -(root(4/21))
Similar Questions
  1. Use the Pythagorean identities rather than reference triangles.Find tanθ and cotθ if secθ = 3/2 and sinθ <0 Please help me ,
    1. answers icon 2 answers
  2. Find the exact value of cotθ given secθ=3 and tanθ<0.cotθ=8√/3 cotθ=−(3/√8) cotθ=1/√8 cotθ=−(√8/3)
    1. answers icon 3 answers
    1. answers icon 1 answer
  3. #1 cscθ-cotθ#2 cosθ(tanθ-secθ) #3 tanθ+sinθ/cscθ+cotθ
    1. answers icon 3 answers
more similar questions