SOLUTION: given tangent of theta is 2. use trigonometric identities to find the exact value of cot( 90 degreess minus theta).

Algebra ->  Trigonometry-basics -> SOLUTION: given tangent of theta is 2. use trigonometric identities to find the exact value of cot( 90 degreess minus theta).       Log On


   

Question 225799: given tangent of theta is 2. use trigonometric identities to find the exact value of cot( 90 degreess minus theta).

Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
lets make theta as A
tanA =2
so tan is positive is so it lies on the 1st quadrant

Simplify cot(90°-A)
cos(90°-A)/sin(90°-A)
=cos90°cosA+sin90°sinA / sin90°cosA-cos90°sinA
=sinA/cosA
=tanA
so, finally , tanA = 2