Question

How to convert $\sin \left(80°\right)$ into decimals ?

Answer 1

Step 1 : First Convert $1°$ into radians and then $80°$.

$$\begin{gathered} 180°=\mathrm{\pi }\mathrm{radians} \\ \Rightarrow 1°=\frac{\mathrm{\pi }}{180}\mathrm{radians} \end{gathered}$$

$$\begin{gathered} \mathrm{radians}=\frac{80\times \mathrm{\pi }}{180} \\ \Rightarrow 80°=1.396\mathrm{radians} \end{gathered}$$

Step 2 : Now , finding value of $\sin \left(80°\right)$.

$$\begin{gathered} \sin \left(80°\right)=\sin \left(1.3962\right) \\ \Rightarrow \sin \left(80°\right)=0.984 \end{gathered}$$

Hence, the Decimal value of $\sin \left(80°\right)$ is $0.984$.