First slide

Trigonometric equations

Question

$The number of solutions of the equation \sin^{2} \frac{x}{2} \cdot \sin x + 1 = 0 is$

Moderate

A

3
B

2
C

1
D

0

Solution

$\sin^{2} (\frac{x}{2}) = - \frac{1}{\sin x} \Rightarrow 1 - \cos^{2} (\frac{x}{2}) = - \frac{1}{\sin x}$
$\Rightarrow \sin x \cos x = 2 + \sin x \Rightarrow \sin 2 x = 4 + 2 \sin x$
$∴ No solution$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App