Which of the following is equivalent to the expression cos^2 θ(sec^2 θ-1)?
Answer choices:
A. sin^2 θ
B. tan^2 θ
C. -1
D. secθ
E. cot^2 θ
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Answer choices:
A. sin^2 θ
B. tan^2 θ
C. -1
D. secθ
E. cot^2 θ
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Verified answer
let theta = x
cos^2 x (sec^2 x - 1)
= cos^2 x * tan^2 x
= cos^2 x (sin^2 x/cos^2 x)
= sin^2 x
Answer : A. sin^2 theta