# Math

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If sinθ=1/5 and θis in Quadrant I, find the exact value of 2θ.

• Math -

Use the double angle formula:
sin(2θ)=2sin(θ)cos(θ)
given
sin(θ)=1/5
cos(θ)=sqrt(1-(1/5)²))=sqrt(24)/5

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