Savanne1bo

2022-12-29

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

michellegrosscju

Expert

Find the value of given trigonometric expression:
Given trigonometric expression: $\left(\mathrm{sin}{30}^{\circ }+\mathrm{cos}{60}^{\circ }\right)$
Therefore,
$\mathrm{sin}{30}^{\circ }+\mathrm{cos}{60}^{\circ }=\frac{1}{2}+\frac{1}{2}\left[\because sin{30}^{\circ }=\frac{1}{2}andcos{60}^{\circ }=\frac{1}{2}\right]⇒\mathrm{sin}{30}^{\circ }+\mathrm{cos}{60}^{\circ }=1$
Thus, the value of $\left(\mathrm{sin}{30}^{\circ }+\mathrm{cos}{60}^{\circ }\right)$ is 1.

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