Evaluate the following expression. $$\frac { 3 + 3 \sin 4 \theta } { \cos 4 \theta } + \frac { 3 \cos 4 \theta } { 1 + \sin 4 \theta }$$
A) $- 4 \sec 4 \theta$
B) $- 6 \sec 4 \theta$
C) $6 \sec 4 \theta$
D) $4 \sec 4 \theta$
E) $\sec 6 \theta$

Question

Evaluate the following expression. $$\frac { 3 + 3 \sin 4 \theta } { \cos 4 \theta } + \frac { 3 \cos 4 \theta } { 1 + \sin 4 \theta }$$ 
A) $- 4 \sec 4 \theta$
B) $- 6 \sec 4 \theta$
C) $6 \sec 4 \theta$
D) $4 \sec 4 \theta$
E) $\sec 6 \theta$

Quizplus · Accepted Answer

The expression simplifies to $6 \sec 4 \theta$ by combining the fractions over a common denominator and simplifying the resulting expression.

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