SOLUTION: establish each identity. a) (1- cos^2 theta)(1+ cot^2 theta)= 1 b) tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1

Algebra ->  Trigonometry-basics -> SOLUTION: establish each identity. a) (1- cos^2 theta)(1+ cot^2 theta)= 1 b) tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1       Log On


   

Question 697438: establish each identity.

a) (1- cos^2 theta)(1+ cot^2 theta)= 1
b) tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a) (1- cos^2 theta)(1+ cot^2 (theta)= 1
%281-cos%5E2%28theta%29%29%2A%281%2Bcot%5E2%28theta%29%29
%28sin%5E2%28theta%29%29%2A%28cosec%5E2%28theta%29%29


sin%5E2%28theta%29%2A%281%2Fsin%5E2%28theta%29%29
=1







b) tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1