Advertisements
Advertisements
प्रश्न
In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.
Advertisements
उत्तर
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`
APPEARS IN
संबंधित प्रश्न
If cot θ = `7/8`, evaluate cot2 θ.
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin theta = 11/5`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin theta = sqrt3/2`
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan theta = 8/15`
Evaluate the following
`2 sin^2 30^2 - 3 cos^2 45^2 + tan^2 60^@`
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle β to the horizontal. Show that `p/q = (cos β - cos α)/(sin α - sin β)`
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
If cos(α + β) = `(3/5)`, sin(α – β) = `5/13` and 0 < α, β < `π/4`, then tan (2α) is equal to ______.
