Question

Find one solution for the equation. Assume that all angles involved are acute angles.

tan(3B+35)= cot(2B-10)

Answer 1

9514 1404 393

Answer:

B = 13

Explanation:

The tangent and cotangent are equal when the angles are complementary.

(3B +35) +(2B -10) = 90

5B = 65

B = 13

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Check

For B=13, the angles are 3B+35 = 39+35 = 74, and 2B-10 = 26-10 = 16. Both are acute angles.