Asked by Anonymous
                Solve without a calculator. cos(arcsin (3x/2))
I made a triangle but im stuck after that..
            
        I made a triangle but im stuck after that..
Answers
                    Answered by
            Reiny
            
    arcsin (3x/2) is base angle Ø of a right angled-triangle, so that the opposite side is 3x and the hypotenuse is 2
So find the third side using Pythagoras, that would be
√(4 - 9x^2)
so cos Ø = √(4-9x^2)/2
or
cos (arcsin (3x/2)) = √(4-9x^2)/2
    
So find the third side using Pythagoras, that would be
√(4 - 9x^2)
so cos Ø = √(4-9x^2)/2
or
cos (arcsin (3x/2)) = √(4-9x^2)/2
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