math- precalulus

Can someone help me with this prolem please?

Use the information given about the angle Ɵ to find the exact value of:
sin 2Ɵ.

1) sinƟ= 3/5, 0 < Ɵ < (π/2)

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asked by kayla
  1. form a right-angled triangle in the first quadrant with the angle at the origin equal to Ɵ the opposite equal to 3 and the hypotenuse equal to 5
    You should recognize the 3,4, 5 right-angled triangle
    so cosƟ = 4/5

    sin2Ɵ = 2sinƟcosƟ
    = 2(3/5)(4/5)
    = 24/25

    if sinƟ = 3/5 then Ɵ = 36.8699
    2Ɵ = 73.7398
    sin 73.7398 = .96
    and 24/25 = .96

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    posted by Reiny

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