Question

sintheta/root 1-sin^2theta = tan theta prove

Answer 1

HEYA MATE, HERE IS UR ANSWER

$\frac {sin theta}{\sqrt{1-sin theta ^2}}$

We know the identity sin ^2 theta + cos ^2 theta =1 -------(1)

Therefore

Cos^2 theta =1-sin^2 theta

Putting this value in equation 1 )

$\frac{sin theta}{\sqrt{cos^2 theta}}$

= sin theta/cos theta

=tan theta

---------$\mathbb{Hence\:verified }$

$\mathbb{Be\: Brainly}$

Answer 2

Answer:

It is proven that

$\frac{\sin \theta}{\sqrt{\cos ^{2} \theta}}=tan \theta$

Step-by-step explanation:

Given :

$\frac{\sin \theta}{\sqrt{\cos ^{2} \theta}}=tan \theta$

Step 1

We know the identity

$sin ^2 \theta + cos ^2 \theta =1.................(1)$

Therefore

$Cos^2 \theta =1-sin^2 \theta$

Step 2

Putting this value in the equation $( 1 )$

$\frac{\sin \theta}{\sqrt{1-\sin ^{2} \theta}}$  $=\frac{\sin \theta}{\sqrt{\cos ^{2} \theta}}$

$=\frac{\sin \theta}{\cos \theta} \\ &$

$=\tan \theta \end{aligned}$

Therefore,

$\frac{\sin \theta}{\sqrt{\cos ^{2} \theta}}=tan \theta$

#SPJ3