Question

How do I find the value of $\sin 150°$.

Answer 1

Calculate the value of $\sin \left(150°\right)$:

First, determine the sign of $\sin \left(150°\right)$.

It is clear that $150°$ belongs to the second quadrant.

It is known that the values of sines are positive $\left(+\right)$ in the second quadrant.

It is also known that, $\mathbf{sin}\mathbf{(}\mathbf{180}\mathbf{-}\mathbf{x}\mathbf{)}\mathbf{°}\mathbf{=}\mathbf{sin}\mathbf{}\mathit{x}\mathbf{°}$.

Thus, $\sin \left(150°\right)=\sin \left(180-30\right)°=\sin \left(30°\right)=\frac{1}{2}$.

Therefore, the value of $\sin \left(150°\right)$ is $\frac{1}{2}$.