Use the trigonometric substitution to write the algebraic ex

Use the trigonometric substitution to write the algebraic expression as a trigonometric function of , where 0 < < /2.

square root of

Solution

sqrt(x² 16) when x = 4 sec

sqrt(16sec^2 16) = 4sqrt(sec^2 - 1) = 4sqrt(tan^2 ) = 4tan