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Find two exact values of sin(cosˉ¹√5/6)

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cos^-1 (√5/6)
is an angle Ø so that sinØ = √5/6
sketch a right-angled triangle with hypotenuse 6, and opposite side √5
by Pythagoras the adjacent side is √31

then cosØ = √31/6

so sin(cosˉ¹√5/6) = √31/6

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