Trig

1. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B).

a) 24/80
[b)] 84/85
c) 60/80
d) 60/85

Find Cos(A+B).

a) 32/80
b) -45/85
c) -13/80
[d)] -13/85

Find Tan(A+B)
a) 0.8
[b)] -1.72
c) -4.21
d) -6.46

I keep getting an 1.61 answer but that isn't an option?

What is the quadrant of A+B?
[a)] I
b) II
c) III
d) IV

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  1. I hope you got

    sinA = 3/5
    cosA = 4/5
    tanA = 3/4

    sinB = 15/17
    cosB = 8/17
    tanB = 15/8

    given that, then

    sin(A+B) = 3/5 * 8/17 + 4/5 * 15/17 = 84/85
    cos(A+B) = 4/5 * 8/17 - 3/5 * 15/17 = -13/85
    tan(A+B) = 84/-13 = -6.46
    it might have been nice to see where you went wrong there.

    since sin=y/r and z = x/r, we have
    x<0 y>0, so QII

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