Given sec x 32 90 degree Solutionsin cos1 14 2 let cos1

Solution

sin ( cos^-1 (1/4) / 2 )

let cos^-1 (1/4) = x

cos x = 1/4

therefore, expression becomes

sin ( x/2 )

applying half angle formula

sin (x/2) = + - sqrt ( (1- cos x) / 2)

= + - sqrt ( ( 1- 1/4) / 2) = +- sqrt ( 3/8)

therefore, sin ( cos^-1 (1/4) / 2 ) = + - sqrt (3/8)