Write cos x in terms of sin x cos x plusminus squareroot 1

Write cos x in terms of sin x. cos x = plusminus squareroot 1 - sin^2 x cos x = plusminus sin x squareroot 1 - sin^2 x/1 - sin^2 x cos x = plusminus squareroot 1- sin^2 x/1- sin^2 x cos x = plusminus squareroot 1- sin^2 x/1- sin x

Solution

cosx= +-sqrt(1-sin²x)

cos²x + sin²x=1

cos²x= 1-sin²x

taking square root on both sides

sqrt(cos²x) = +-sqrt(1-sin²x)

cosx=+-sqrt(1-sin²x)

The correct option is A