Given the expression $$\sec^2$(- heta) - \cos^2$(- heta) - an^2$(- heta)$$, rewrite it in terms of $$\sin( heta)$$ and $$\cos( heta)$$ only, and simplify so that no quotients appear in the final expression. Which of the following is the correct simplified form?

Question

Given the expression $$\sec^2$(-	heta) - \cos^2$(-	heta) - 	an^2$(-	heta)$$, rewrite it in terms of $$\sin(	heta)$$ and $$\cos(	heta)$$ only, and simplify so that no quotients appear in the final expression. Which of the following is the correct simplified form?

Accepted Answer

$$\sin^2$(	heta)$$

Simplifying Trigonometric Expressions Using Fundamental Identities

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