Question

simplify the expression
(1+cot theta)(1- cot theta) - csc^2 theta

Answer 1

Multiple (1 - cot theta)(1+ cot theta) = 1 - cot^2 (theta).

sue pythagorean identity that 1+ cot^2(theta) = csc^2 (theta).

and you'll be done.

Answer 2

use*

Answer 3

\[(1+\cot \theta)(1-\cot \theta)-\csc ^2\theta =1-\cot ^2\theta-\csc ^2\theta =\]
\[1-\cot ^2\theta-(1+\cot ^2\theta)=1-\cot ^2\theta-1-\cot ^2\theta =-2\cot ^2\]

Answer 4

Awesome thank you guys!

Answer 5

yw