Question

Verify the identity.
(1 − sin^2 x)(tan^2 x + 1) = 1

Use the Pythagorean and Reciprocal Identities, and simplify.

(1-sin^2 x)(tan^2 x1) = (?) (sec^2 x)
= (?) (1/cos^2 x)
= 1

Answer 1

x=0+2(pie)n

Answer 2

\((1-\sin^2{x})(\tan^2{x}+1)=\cos^2{x}(\frac{1}{\cos^2{x}})=1\)

Answer 3

What do I put in the space next to the sec?

Answer 4

cos^2(x)