Use the Trigonometric Substitution to Select the Algebraic Expression as a Trigonomet-

Multiple Choice

Use the trigonometric substitution to select the algebraic expression as a trigonomet- $$\text { ric function of } \theta \text {, where } 0 < \theta < \frac { \pi } { 2 } \text {. }$$ $$\sqrt { 16 x ^ { 2 } + 25 } , 4 x = 5 \tan \theta$$

A) $5 \sec \theta$
B) $16 \tan \theta$
C) $16 \sec \theta$
D) $- 4 \sec \theta$
E) $4 \tan \theta$