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Domain and Range of Trigonometric Ratios

If sin A+si...

Question

If $sin A + sin B + sin C = 3$ then the value of $cos A + cos B + cos C$ is

A

3

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B

2

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C

1

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D

0

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Solution

The correct option is C 0
$sin A + sin B + sin C = 3$
$\Rightarrow sin A = sin B = sin C = 1$
$∵ - 1 \leq sin θ \leq 1$
$\Rightarrow A = B = C = π / 2$
$∴ cos A + cos B + cos C = 0$

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Similar questions

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cos (B - C) + cos (C - A) + cos (A - B) = - \frac{3}{2}

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Δ A B C

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, then the triangle is

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