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Two angles of a triangle are cot^-12 and cot^-13. Then the third angle is

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Two angles of a triangle are cot-12 and cot-13. Then the third angle is

(A) π/4

(B) 3π/4

(C) π/6

(D) π/3

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1 Answer

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Best answer

Correct option (B) 3π/4

Explanation:

We have

cot-12 + cot-13 = cot-1((2 x 3 - 1)/(2 + 3)) = π/4

Hence, third angle = π - π/4 = 3π/4

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