Compute $\cos ( \alpha + \theta )$ and $\cos ( \alpha - \theta )$ using the data below. $\sin \alpha = \frac { 3 } { 5 } \quad \text { where } \frac { \pi } { 2 }

Question

Compute $\cos ( \alpha + \theta )$ and $\cos ( \alpha - \theta )$ using the data below. $\sin \alpha = \frac { 3 } { 5 } \quad \text { where } \frac { \pi } { 2 } < \alpha < \pi$ $\cos \theta = \frac { 5 } { 13 } \quad \text { where } - 2 \pi < \theta < - \frac { 3 \pi } { 2 }$
A) $\cos ( \alpha + \theta ) = \frac { 21 } { 221 }$ $\cos ( \alpha - \theta ) = - \frac { 171 } { 221 }$
B) $\cos ( \alpha + \theta ) = - \frac { 56 } { 65 } \cos ( \alpha - \theta ) = \frac { 16 } { 65 }$
C) $\cos ( \alpha + \theta ) = \frac { 16 } { 65 }$ $\cos ( \alpha - \theta ) = - \frac { 56 } { 65 }$
D) $\cos ( \alpha + \theta ) = \frac { 56 } { 65 }$ $\cos ( \alpha - \theta ) = \frac { 16 } { 65 }$
E) $\cos ( \alpha + \theta ) = - \frac { 171 } { 221 }$ $\cos ( \alpha - \theta ) = \frac { 21 } { 221 }$

Quizplus · Accepted Answer

The Answer of Compute $\cos ( \alpha + \theta )$ and $\cos ( \alpha - \theta )$ using the data below. $\sin \alpha = \frac { 3 } { 5 } \quad \text { where } \frac { \pi } { 2 } < \alpha < \pi$ $\cos \theta = \frac { 5 } { 13 } \quad \text { where } - 2 \pi < \theta < - \frac { 3 \pi } { 2 }$
A) $\cos ( \alpha + \theta ) = \frac { 21 } { 221 }$ $\cos ( \alpha - \theta ) = - \frac { 171 } { 221 }$
B) $\cos ( \alpha + \theta ) = - \frac { 56 } { 65 } \cos ( \alpha - \theta ) = \frac { 16 } { 65 }$
C) $\cos ( \alpha + \theta ) = \frac { 16 } { 65 }$ $\cos ( \alpha - \theta ) = - \frac { 56 } { 65 }$
D) $\cos ( \alpha + \theta ) = \frac { 56 } { 65 }$ $\cos ( \alpha - \theta ) = \frac { 16 } { 65 }$
E) $\cos ( \alpha + \theta ) = - \frac { 171 } { 221 }$ $\cos ( \alpha - \theta ) = \frac { 21 } { 221 }$

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Compute $\cos ( \alpha + \theta )$ And $\cos ( \alpha - \theta )$