Question

which of the following angles is not co - terminal with \\( \frac { 13 \pi } { 4 } \\)? 155° - 135° - 495° 225° clear all

Explanation:

Step1: Convert $\frac{13\pi}{4}$ to degrees

We know that $\pi$ radians $ = 180^{\circ}$. So, $\frac{13\pi}{4}=\frac{13\times180^{\circ}}{4}=585^{\circ}$.

Step2: Find co - terminal angles

Co - terminal angles differ by a multiple of $360^{\circ}$.

• For $585^{\circ}-360^{\circ}=225^{\circ}$.
• For $225^{\circ}-360^{\circ}=- 135^{\circ}$.
• For $-135^{\circ}-360^{\circ}=-495^{\circ}$.

Answer:

$155^{\circ}$