Question

EVALUATE cos(sin^-1(-5/13)) . answer using slash bar or fraction sign.

Answer 1

Explanation:

`cos(sin^(-1)(-5/13))`

lets say

`sin^(-1)(-5/13) =\alpha`

so it means

`sin\alpha =(-5)/(13)`

and we need
`cos\alpha = ?\\`

Now use he pythagorean

`cos^2\alpha +sin^2\alpha =1`

`cos^2\alpha +((-5)/(13))^2  =1`

`cos^2\alpha=1-(25)/(169)`

`cos^2\alpha =(144)/(169)`

Take sqrt on both sides we get

`cos\alpha =12/13`

Hence

`cos(sin^(-1)(-5/13)) = <strong>(12)/(13)`

Answer 2

EVALUATE cos(sin^-1(-5/13)) =12 / 13
I hope this will help you.
Let me know if you need more explanation
Thank you