Write the given expression in terms of x and y only.
sin(sin−1(x) + cos−1(y))

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Write the expression below in terms of x and y only:

(I'm going to call it "E")



Let



so the expression becomes



•   Finding



•   Finding



because is positive for

•   Finding



•   Finding



because is positive for

Finally, you get



I hope this helps. =)

Tags:   inverse trigonometric trig function sine cosine sin cos arcsin arccos sum angles trigonometry