To solve these conversions, let's break them down step by step:

(A) Convert $150^\circ$ into radians

The conversion formula from degrees to radians is:

$\text{Radians} = \left(\frac{\pi}{180^\circ}\right) \times \text{Degrees}$

So, for $150^\circ$:

$\text{Radians} = \left(\frac{\pi}{180^\circ}\right) \times 150^\circ = \frac{150\pi}{180} = \frac{5\pi}{6}$

Thus, $150^\circ$ is equivalent to $\frac{5\pi}{6}$ radians.

(B) Convert $\frac{3\pi}{4}$ into degrees

The conversion formula from radians to degrees is:

$\text{Degrees} = \left(\frac{180^\circ}{\pi}\right) \times \text{Radians}$

So, for $\frac{3\pi}{4}$:

$\text{Degrees} = \left(\frac{180^\circ}{\pi}\right) \times \frac{3\pi}{4} = \frac{3 \times 180^\circ}{4} = 135^\circ$

Thus, $\frac{3\pi}{4}$ radians is equivalent to $135^\circ$.

Would you like further details or have any questions?

Here are 5 related questions:

1. Convert $210^\circ$ into radians.
2. Convert $\frac{\pi}{3}$ into degrees.
3. What is $360^\circ$ in radians?
4. Convert $\frac{7\pi}{6}$ into degrees.
5. Convert $45^\circ$ into radians.

Tip: Remember that $\pi$ radians is always equivalent to $180^\circ$, which is the key factor in converting between degrees and radians.