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x1nsanity
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Homework Statement
Find the exact value of : sin[sin^-1 (3/5) - cos^-1 (-4/5)]
Homework Equations
sin(A-B) = sinA*cosB-cosA*sinB
The Attempt at a Solution
sin A = (3/5) sin B = (-3/5)
cos A = (4/5) cos B = (-4/5)
(3/5)*(-4/5) - (-3/5)(4/5)
(-12/25) - (-12/25) = 0
I did that and the book says that the answer is (-24/25). What did I do wrong?