Question

use the basic identities to simplify the expression

cos^2theta -(csc theta-1)(csc theta +1)

Answer 1

Csc = 1/sin
Cos(2x) = cos^2(x) - sin^2(x)
= 1/2 [1+cos(x)]

Answer 2

thank you!

Answer 3

@minabina678 Please give @abb0t a medal for his help!

Answer 4

Aww! Thanks @Preetha :)

Answer 5

how far do they want it simplified? do you have the answer?

here is what i see
\[=\cos^{2} \theta - (\csc^{2} \theta -1)\]
\[=\cos^{2} \theta - \cot^{2} \theta\]
\[=-\cos^{2} \theta \cot^{2} \theta\]