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

1-sin-2-a-1-tan-2-a-equals-to

(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

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