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Question

Mathematics Question on Angle between two lines

If an angle a is divided into two parts A and B such that A-B=x and tan A: tan B=k:1, then the value of sinx is

A

k+1k1\frac{k+1}{k-1}sina

B

kk+1\frac{k}{k+1}sina

C

k1k+1\frac{k-1}{k+1}sina

D

k+1k\frac{k+1}{k}cosa

Answer

k1k+1\frac{k-1}{k+1}sina

Explanation

Solution

The correct answer is(C): k1k+1\frac{k-1}{k+1}sina