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Don’t mind the work there. i need help solving the question please

Don’t mind the work there. i need help solving the question please-example-1

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Explanation:

sin = -3/5 we are told this is between pi/2 and 3pi/2

so Quadrant II and III

of these two quadrants

sin is only negative in Q III where cos is also negative

TRIG IDENTITY: sin^2 + cos^2 = 1 will show cos = - 4/5

TRIG IDENTITY : Sin (2Φ) = 2 sinΦ cosΦ

= 2 (-3/5) (-4/5) = 24/25 = .960

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