Use Various Trigonometric Identities to Simplify the Expression Then Integrate $$\int \sin \theta \cos \theta \cos 5 \theta d \theta$$

question 35

Multiple Choice

Use various trigonometric identities to simplify the expression then integrate.
- $$\int \sin \theta \cos \theta \cos 5 \theta d \theta$$

• A) \(\frac { 1 } { 28 } \cos 4 \theta + C\)
• B) \(\frac { 1 } { 12 } \cos 3 \theta - \frac { 1 } { 28 } \cos 7 \theta + C\)
• C) \(\frac { 1 } { 7 } \cos 7 \theta + C\)
• D) \(\frac { 1 } { 5 } \cos 3 \theta - \frac { 1 } { 10 } \cos 7 \theta + C\)

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