Find the exact value of the expression. $\sin \left( \frac { \pi } { 6 } \right) \cos \left( \frac { \pi } { 3 } \right) + \sin \left( \frac { \pi } { 3 } \right) \cos \left( \frac { \pi } { 6 } \right)$
A) $\frac { 3 } { 4 }$
B) $1$
C) $\frac { \sqrt { 3 } } { 4 }$
D) $\frac { 3 } { 2 }$
E) $\frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

This expression is an application of the sine addition formula, $\sin(a + b) = \sin(a)\cos(b) + \cos(a)\sin(b)$, with $a = \frac{\pi}{6}$ and $b = \frac{\pi}{3}$. Substituting these values, we get $\sin\left(\frac{\pi}{6} + \frac{\pi}{3}\right) = \sin\left(\frac{\pi}{2}\right) = 1$.

Find the Exact Value of the Expression A) 34\frac { 3 } { 4 }43​

Find the Exact Value of the Expression A) $\frac { 3 } { 4 }$