If cos A + cos B + cos C = 3, then what

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos A + cos B + cos C = 3, then what is the value of sin A + sin B + sin C?

Options:

-1

Correct Answer:

Explanation:

We are given that :-

cos A + cos B + cos C = 3

Let us assume that ,

cos A = cos B = cos C = 1

It is possible if and only if

A = B = C = 0º { cos 0º = 1 }

Now,

sinA + sinB + sinC

= sin0º + sin0º + sin0º

= 0 + 0 + 0

= 0