First slide

Trigonometric Identities

Question

The number of solutions of
$\sin θ + 2 \sin 2 θ + 3 \sin 3 θ + 4 \sin 4 θ = 10$ , $0 < θ < π$ is

Moderate

A

0
B

1
C

2
D

4

Solution

Given equation is possible if $\sin θ = \sin 2 θ = \sin 3 θ = \sin 4 θ = 1$
for some $θ, 0 < θ < π$ which is not possible .

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