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Question

Mathematics Question on Introduction to Trigonometry

If tan(AB)=13, cos A=12tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 then B=∠B= ____ .

A

2π3\frac {2\pi}{3}

B

π4\frac {\pi}{4}

C

π6\frac {\pi}{6}

D

π3\frac {\pi}{3}

Answer

π6\frac {\pi}{6}

Explanation

Solution

The correct option is (C): π6\frac {\pi}{6}.