Question

In PQR, Angle q is right Angle and tan r = 1/√3 then show that sin P cos R + cost P sin R = 1​

Answer 1

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Answer 2

I hope it helps you..

tanR=1/root3

so R=30°

and P = 60°

sinP = root 3/2

cosR = root 3/2

cosP=1/2

sinR=1/2

So,

The expression will reduce to

3/4 + 1/4 = 4/4 = 1