Help with Double Angle Identities

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To find sin 2θ given cos θ = 24/25 in the first quadrant, first determine sin θ using the Pythagorean identity, resulting in sin θ = 7/25. Then, apply the double angle formula sin 2θ = 2sin θ cos θ. Substituting the known values gives sin 2θ = 2 * (7/25) * (24/25), which simplifies to 336/625. The final result confirms that sin 2θ equals 336/625, aligning with the expected answer.
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Help with Double Angle Identities!

cos θ = 24/25

The angle lies in quadrant 1; 0<θ<90

Find sin2θ



I know you would use either the formula cos^2θ - sin^2θ or 2sinθcosθ
And I know that the answer is 339/625, but I do not know how to get that answer?
 
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Use trig formulae and Pythagoras.
It helps if you sketch the angle in a rt-angled triangle.
 


hint: first find sin θ
 

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