How do you prove $Sec^2 (theta) / (1 + tan^2 (theta) )= 1$ ?

Question

3993 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-17T01:28:09

See below

LHS =left hand side, RHS =right hand side

Use Identity $sec^2 theta=tan^2 theta +1$

LHS $=(sec ^2 theta)/sec ^2 theta$

$=1$

How do you prove Sec^2 (theta) / (1 + tan^2 (theta) )= 1Sec^2 (theta) / (1 + tan^2 (theta) )= 1?