Use the given substitution to express the given radical expr

Use the given substitution to express the given radical expression as a trigonometric function without radicals. Assume that b > 0 and 0

Solution

x = b cos theta

cos theta = x/b

base = x

hypotenuse = b

perpendicular = sqrt ( b^2 - x^2 )

sin theta = perpendicular / hypotenuse = sqrt ( b^2 - x^2 ) / b

tan theta = perpendicular / base = sqrt ( b^2 - x^2 ) / x