If A + B = C, then tan A tan B tan C = ? - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If A + B = C, then tan A tan B tan C = ?

Options:

tan C + tan A - tan B

tan C + tan A + tan B

tan A - tan B - tan C

tan C - tan A - tan B

Correct Answer:

tan C - tan A - tan B

Explanation:

As , A + B = C

Multiplying

tan

on both sides,

tan (A + B) = tan C

\(\frac{tanA + tanB}{1 - tanA . tanB}\) = tan C

tan A + tan B = tan C (1 - tan A . tan B)

tan A + tan B = tan C - tan A . tan B . tan C

tan A . tan B . tan C = tan C - tan A - tan B

CUET Questions