Find the Exact Value Under the Given Conditions Find $\sin ( \alpha - \beta )$

question 201

Multiple Choice

Find the exact value under the given conditions.
- $\sin \alpha = - \frac { 3 } { 5 } , \frac { 3 \pi } { 2 } < \alpha < 2 \pi ; \quad \cos \beta = - \frac { \sqrt { 21 } } { 5 } , \pi < \beta < \frac { 3 \pi } { 2 } \quad$ Find $\sin ( \alpha - \beta )$

• A) \(\frac { - 6 - 4 \sqrt { 21 } } { 25 }\)
• B) \(\frac { - 8 + 3 \sqrt { 21 } } { 25 }\)
• \(\frac { - 6 + 4 \sqrt { 21 } } { 25 }\)
• D) \(\frac { 8 + 3 \sqrt { 21 } } { 25 }\)