Question #7c148

1 Answer
sankarankalyanam
Feb 22, 2018

color(green)(=> 1/ cos ^2 x = sec ^2 x = 1 + tan ^2 x

Explanation:

enter image source here

tan x = sin x / cos x, csc x = 1/sin x, 1/cos x = sec x

tan^2x * csc^2 x = (color(brown)cancel(sin^2 x) / (cos^2 x)) * (1/ (color(brown)cancel(sin^2 x)))

=> 1/ cos ^2 x = sec ^2 x = 1 + tan ^2 x

Related questions
See all questions in Fundamental Identities
Impact of this question
1563 views around the world
You can reuse this answer
Creative Commons License