How do you find the reference angle for $- \frac{3 π}{4}$ $-(3pi)/4$ ?

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How do you find the reference angle for $- \frac{3 π}{4}$ $-(3pi)/4$ ?

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Answer 1 · 2017-06-27T06:24:19

the reference angle is $\frac{π}{4}$ $pi/4$

Explanation:

The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. A reference angle always uses the x-axis as its frame of reference.

For $- \frac{3 π}{4}$ $-(3pi)/4$ , it will look like this

enter image source here

(Note that if your angle is positive, it will start from 0 and turn anticlockwise, if your angle is negative, it will start from 0 and turn clockwise.)

So, the reference angle is the angle between the terminal side and the x-axis.Lets find out that angle.

enter image source here

And the reference angle is $\frac{π}{4}$ $pi/4$

There is another simpler way to do it.

There is a formula to find the reference angle
$pi*n + theta , n in ZZ$ where $theta$ is your angle.

So, lets put $n=1$ in your case.

$pi*1+(-(3pi)/4) = pi-(3pi)/4 =pi/4$

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How do you find the reference angle for $- \frac{3 π}{4}$ $-(3pi)/4$ ?

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Explanation:

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