Question

In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.

Answer 1

We have,

`\implies` tan P = `sqrt(3)`

`\implies` tan P = `(RQ)/(PQ)`

= `sqrt(3)`

= tan 60°

`\implies` P = 60°

So, 2 sin P cos P = 2 × 60° × cos 60°

= `2 xx sqrt(3)/2 xx 1/2`

= `sqrt(3)/2`