# Question 355f8

Feb 3, 2018

see explanation.

#### Explanation:

$\theta = - {150}^{\circ}$ is coterminal to ${210}^{\circ}$ or $\frac{7 \pi}{6}$ radians.

This is a Unit Circle angle and you should memorize the sine and cosine:

$\sin \left({210}^{\circ}\right) = - \frac{1}{2}$
$\cos \left({210}^{\circ}\right) = - \frac{\sqrt{3}}{2}$
$\tan \left({210}^{\circ}\right) = - \frac{\sqrt{3}}{3}$
$\csc \left({210}^{\circ}\right) = - 2$
$\sec \left({210}^{\circ}\right) = - \frac{2}{\sqrt{3}}$
$\cot \left({210}^{\circ}\right) = - \sqrt{3}$

Feb 3, 2018

For ϴ = 150 ° the values of the 6 trigonometric functions ae given below :-

#### Explanation:

sinϴ =1/2

cosϴ =-(3)^(1/2)/2

tanϴ = -(3)^(1/2)

cotϴ = -1/(3)^(1/2)

secϴ =-2/(3)^(1/2)

cosecϴ = 2 #