`cos(arcsin(5/13))` Find the exact value of the expression. (Hint: Sketch a right triangle.)

balajia | Student

Taking opposite side as 5 and hypotenuse as 13 ,then the adjacent side will be sqrt(13^2-5^2)=12.

sin^-1(5/13)=cos^-1(12/13).

cos(sin^-1(5/13))=cos(cos^-1(12/13))=12/13=0.923