tan2 θ − sec2 θ is equal to

(a) 1

(b) -1

(c) 0

(d) none of these

Solution:

tan2 θ − sec2 θ = (sin2 θ/cos2 θ) – (1/cos2 θ)

= (sin2θ – 1)/cos2θ

= cos2θ/cos2θ

= 1

Hence option a is the answer.

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