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trig

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find the exact value of sin(u+v) given that sin u=3/5 and sin v= 15/17

  • trig - ,

    just drag out your good old trig identities:

    sin^2 a + cos^2 a = 1

    You have a 3-4-5 and a 8-15-17 triangle.
    You could figure that out using the formula above.

    Next:
    sin(u+v) = sinu cosv + cosu sinv


    sin(u+v) = 3/5 * 8/17 + 4/5 * 15/17

    and I guess you can take it from there . . .

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