Use a sum or difference identity to find the exact value.
-$\sin 10 ^ { \circ } \cos 50 ^ { \circ } + \cos 10 ^ { \circ } \sin 50 ^ { \circ }$
A) $\frac { 1 } { 2 }$
B) $\frac { \sqrt { 3 } } { 3 }$
C) $\frac { \sqrt { 3 } } { 2 }$
D) $\frac { 1 } { 6 }$

Question

Quizplus · Accepted Answer

Using the sum identity for sine, we have:$\sin 10 ^ { \circ } \cos 50 ^ { \circ } + \cos 10 ^ { \circ } \sin 50 ^ { \circ } = \sin ( 10 ^ { \circ } + 50 ^ { \circ } ) = \sin 60 ^ { \circ } = \frac { \sqrt { 3 } } { 2 }$

Use a Sum or Difference Identity to Find the Exact sin⁡10∘cos⁡50∘+cos⁡10∘sin⁡50∘\sin 10 ^ { \circ } \cos 50 ^ { \circ } + \cos 10 ^ { \circ } \sin 50 ^ { \circ }sin10∘cos50∘+cos10∘sin50∘

Use a Sum or Difference Identity to Find the Exact $\sin 10 ^ { \circ } \cos 50 ^ { \circ } + \cos 10 ^ { \circ } \sin 50 ^ { \circ }$