First slide

Compound angles

Question

If $\cot (α + β) = 0,$ then $\sin (α + 2 β)$ can be

Moderate

A

$- \sin α$
B

$\sin β$
C

$\cos α$
D

$\cos β$

Solution

$\begin{array}{l} \cot (α + β) = 0 \\ \Rightarrow α + β = π / 2 + nπ, n \in I \\ \Rightarrow \sin (α + 2 β) = \sin (90^{\circ} + β) = \cos β (for n = 0) \end{array}$

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