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Can someone please help me with this mathematical problem?

0 votes

Find the exact value of the expression. Show your work.

sin (cos ^-1 (3/5))

Answer: 4/5
but i don't know how to get it.

asked Jul 21, 2013 in TRIGONOMETRY by anonymous Apprentice

1 Answer

0 votes

sin (cos ^-1 (3/5))

Using inverse trigonometric formula,

sin (cos ^-1 (x))=sqrt(1-x^2)

Substitute 3/5 for x

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

                                 =4/5

answered Jul 21, 2013 by bradely Mentor

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