Question

Given sin²theta +cos²theta=1 prove that 1+tan²theta =sec²theta​

Answer 1

Answer:

Given =

${ sin}^{2} + {cos}^{2} = 1$

To prove =

$1 + {tan}^{2} = {sec}^{2}$

using given conditions,

Divide the given equation by cos ^2 , we get

sin^2+cos^2=1/cos^2

$1 + {tan}^{2} = {sec}^{2}$

Hence proved