Question
Evaluate: sin 60° cos 30° + sin 30° cos 60°
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Answer
$\sin 60 ^ { \circ } \cos 30 ^ { \circ } + \sin 30 ^ { \circ } \cos 60 ^ { \circ }$
$= \frac { \sqrt { 3 } } { 2 } \cdot \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \cdot \frac { 1 } { 2 }$
$= \frac { 3 } { 4 } + \frac { 1 } { 4 } = 1$
$= \frac { \sqrt { 3 } } { 2 } \cdot \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \cdot \frac { 1 } { 2 }$
$= \frac { 3 } { 4 } + \frac { 1 } { 4 } = 1$
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