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Use a Sum or Difference Identity to Find the Exact sin⁡7π24cos⁡π8−cos⁡7π24sin⁡π8\sin \frac { 7 \pi } { 24 } \cos \frac { \pi } { 8 } - \cos \frac { 7 \pi } { 24 } \sin \frac { \pi } { 8 }

Question 220

Multiple Choice

Use a sum or difference identity to find the exact value.
- sin⁡7π24cos⁡π8−cos⁡7π24sin⁡π8\sin \frac { 7 \pi } { 24 } \cos \frac { \pi } { 8 } - \cos \frac { 7 \pi } { 24 } \sin \frac { \pi } { 8 }


A) 12\frac { 1 } { 2 }
B) 22\frac { \sqrt { 2 } } { 2 }
C) 1
D) 32\frac { \sqrt { 3 } } { 2 }

Correct Answer:

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