Suppose theta is an angle n the 4th quadrant with costheta x

Suppose theta is an angle n the 4th quadrant with costheta= x/4 find expressions for the other trigonometric functions in terms of x

cos theta = x/4

base = x

hypotenuse = 4

perpendicular = sqrt (4^2 - x^2 ) = sqrt ( 16 - x^2 )

sin theta = - sqrt (16- x^2 ) / 4

tan theta = - sqrt ( 16 - x^2 ) / x

csc theta = 1 / sin theta = - 4 / sqrt ( 16 - x^2 )

sec theta = 1 / cos theta = 4 / x

cot theta = 1 / tan theta = - x / sqrt ( 16 - x^2 )