Question

Find the value of $(\sin {30}^{\circ }+\cos {60}^{\circ })$.

Answer 1

Find the value of given trigonometric expression:

Given trigonometric expression: $(\sin {30}^{\circ }+\cos {60}^{\circ })$

So,

$$\begin{gathered} \sin {30}^{\circ }+\cos {60}^{\circ }=\frac{1}{2}+\frac{1}{2}\mathbf{}\mathbf{}\left[\because sin{30}^{\circ }=\frac{1}{2}andcos{60}^{\circ }=\frac{1}{2}\right] \\ \Rightarrow \sin {30}^{\circ }+\cos {60}^{\circ }=1 \end{gathered}$$

Hence, the value of $(\sin {30}^{\circ }+\cos {60}^{\circ })$ is $1$.