﻿ Let 0 < α < π/2 be a fixed angle. If P = (cos θ, sin θ) and Q = (cos (α – θ), sin (α – θ) then Q is obtained from P by : Kaysons Education

# Let 0 < α < π/2 Be A Fixed Angle. If P = (cos θ, Sin θ) And Q = (cos (α – θ), Sin (α – θ) Then Q Is Obtained From P by

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## Question

### Solution

Correct option is

Clockwise rotation around the origin through an angle α

OP makes an angle θ with the positive direction of x-axis and OQ makes an angle (α – θ) with the positive direction of x-axis.

 So that ∠POQ = α and thus Q is obtained from P by clockwise rotation through an angle α around the origin.

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