Question

is cos theta positive or negative if theta=500 radians

Answer 1

Answer:

The $\cos\theta$ is positive.

Step-by-step explanation:

To find : Is $\cos\theta$ positive or negative if $\theta=500$ radian ?

Solution :

First we convert radian into degree,

We multiply number by $\frac{\pi}{180}$

So, $\theta=500\times \frac{\pi}{180}$

$\theta=\frac{25\pi}{9}$

$\theta=2\pi+\frac{7\pi}{9}$

Taking, $\cos\theta$

$\cos\theta=\cos(2\pi+\frac{7\pi}{9})$

As we know that, $\cos(2\pi+\theta)=+\cos \theta$

Therefore, The $\cos\theta$ is positive.