Question

solve the following equation

Answer 1

Hi Mate!!

We know that Sin² ( x ) + Cos² ( x ) = 1 and 1 / Cos ( x ) = Sec ( x )

Exp:-

Sin² ( x ) + Cos² ( x ) / Cos (x )

1 / Cos ( x )

Sec ( x )

Where x = theta


Have a nice time
.

Answer 2

Here  to prove

$\frac{sin^2\theta}{cos\theta} +cos\theta = sec\theta$

LHS

$= \frac{sin^2\theta}{cos\theta} + cos\theta$

$= \frac{(sin^2\theta + cos^2\thata)}{cos\theta}$

∵ sin²Ф + cos²Ф = 1

∴ $= \frac{1}{cos\thetha}$

= sec Ф [∵ 1/cosФ = secФ]

= RHS