Theandra L.

asked • 01/26/18

cos theta=24/25,3pi/2<theta<2pi

find the exact value of sin(2theta)

Mark M.

If 3π/2 < θ < 2π, the cos θ is negative. It cannot be be 24/25.
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01/26/18

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Kenneth S. answered • 01/26/18

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The sides of the REFERENCE TRIANGLE are 5, 24 and 25 (that's a Pythagorean triple).
The angle theta is in the fourth quadrant, so sin θ = -5/25 = -1/5.
The rest of the problem is easy; use the double angle formula.
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