Question

Verify the identity.
tan(θ) sin(θ) + cos(θ) = sec(θ)

Answer 1

Explanation:

first of all

`tan = \ ( \sin)/( \cos )`

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved