First slide

Trigonometric Identities

Question

If $\sin θ_{1} + \sin θ_{2} + \sin θ_{3} = 3, then \cos θ_{1} + \cos θ_{2} + \cos θ_{3}$ is equal to

Very Easy

A

3
B

2
C

1
D

0

Solution

The given relation is satisfied only when
$\begin{aligned} \sin θ_{1} = \sin θ_{2} = \sin θ_{3} = 1 \\ \Rightarrow \cos θ_{1} = \cos θ_{2} = \cos θ_{3} = 0 \\ \Rightarrow \cos θ_{1} + \cos θ_{2} + \cos θ_{3} = 0 \end{aligned}$

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