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Math Help - Find Exact Value

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    Find Exact Value

    Find the exact value of the expression below.

    sin[arcsin(-4/5) - arctan(3/4)]
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    Hello !
    Quote Originally Posted by magentarita View Post
    Find the exact value of the expression below.

    sin[arcsin(-4/5) - arctan(3/4)]
    1st step
    Use formula \sin(a-b)=\sin(a)\cos(b)-\sin(b)\cos(a)

    2nd step
    \sin(\arcsin(x))=x
    \cos(\arcsin(x))=\sqrt{1-x^2}

    \sin(\arctan(x))=\frac{x}{\sqrt{x^2+1}}
    \cos(\arctan(x))=\frac{1}{\sqrt{x^2+1}}
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