Question

(1 – sin^2 A) (1 + tan^2 A) equals to _____

(a) – Sec^2 θ Tan^2 θ

(b) – Sec^2 θ Tan^2 θ

(c) 1

(d) 0

I got this question during an interview.

I'd like to ask this question from Trigonometric Identities in section Trigonometry of Mathematics – Class 10

Answer 1

Right option is (c) 1

To elaborate: (1 – sin^2 A) (1 + tan^2 A) = cos^2 A . sec^2 A

= cos^2 A . \(\frac {1}{cos^2 A}\)

= 1