How do you simplify #Sin( cos^-1 (3/5))#?

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Answer 1 · 2016-10-31T19:29:21

#sin(cos^-1(3/5)) = 4/5#

#sin(cos^-1(3/5)) = sqrt(1 - cos^2(cos^-1(3/5))#

#sin(cos^-1(3/5)) = sqrt(1 - (cos(cos^-1(3/5)))^2#

#sin(cos^-1(3/5)) = sqrt(1 - (3/5)^2)#

#sin(cos^-1(3/5)) = sqrt(1 - 9/25)#

#sin(cos^-1(3/5)) = sqrt(16/25)#

#sin(cos^-1(3/5)) = 4/5#