Find the expression as the sine of an angle.
$\sin 55 ^ { \circ } \cos 5 ^ { \circ } + \cos 55 ^ { \circ } \sin 5 ^ { \circ }$
A) $\sin 55 ^ { \circ }$
B) $\cos 60 ^ { \circ }$
C) $\cos 50 ^ { \circ }$
D) $\sin 60 ^ { \circ }$
E) $\sin 50 ^ { \circ }$

Question

Find the expression as the sine of an angle. 
 $\sin 55 ^ { \circ } \cos 5 ^ { \circ } + \cos 55 ^ { \circ } \sin 5 ^ { \circ }$  
A) $\sin 55 ^ { \circ }$
B) $\cos 60 ^ { \circ }$
C) $\cos 50 ^ { \circ }$
D) $\sin 60 ^ { \circ }$
E) $\sin 50 ^ { \circ }$

Quizplus · Accepted Answer

This expression is an application of the sine addition formula: $\sin(A + B) = \sin A \cos B + \cos A \sin B$. Substituting $A = 55^\circ$ and $B = 5^\circ$, we get $\sin(55^\circ + 5^\circ) = \sin 60^\circ$.

Find the Expression as the Sine of an Angle sin⁡55∘cos⁡5∘+cos⁡55∘sin⁡5∘\sin 55 ^ { \circ } \cos 5 ^ { \circ } + \cos 55 ^ { \circ } \sin 5 ^ { \circ }sin55∘cos5∘+cos55∘sin5∘

Find the Expression as the Sine of an Angle $\sin 55 ^ { \circ } \cos 5 ^ { \circ } + \cos 55 ^ { \circ } \sin 5 ^ { \circ }$