# How do you sketch the angle whose terminal side in standard position passes through (-3,1) and how do you find sin and cos?

##### 1 Answer

Please see below.

#### Explanation:

To sketch the angle in standard position,

One side of the angle is the positive

The terminal side has one end at the origin (the point

Now draw a line from the origin through the point

If we knew how the angle was made (which direction and how many times around the circle), we would show that also.

Give the angle a name. I will use

**Memorize this**

If the point

The angle has sine

**For this question**

We have

So the sine of

Many trigonometry teachers will insist that you write your answer with a rational number in the denominator. If this is something you have to do, multiply the answer by

So we should answer

The cosine of

Our answer is