Find the exait rnlce of Cos Solutiontan1sqrt 33 tan pi6sqrt3

Solution

tan^-1(sqrt 3/3)

tan pi/6=sqrt3/3

Therefore tan^-1(tan pi/6) =p/6

sin(cos^-13/8)

cos^-1(3/8)=t

cos t=3/8

sin t=sqrt(1-cos²t) =sart(1-(9/64)) =sqrt(55)/64 =sqrt(55)/8

Therefore sin(cos^-13/8)= sqrt(55)/8