Question

If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to ______.

Options

• 3

• 2

• 1

• 0

Answer 1

If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to 0.

Explanation:

Given, sin A + sin B + sin C = 3

∴ sin A = sin B = sin C = 1  ...[∵ – 1 ≤ sin x ≤ 1]

`\implies` A = B = C = `π/2`

`\implies` cos A + cos B + cos C = 0