Home > Trigonometry > Radian Measure

How to put the radian angle 3pi/8 point on a unit circle?

Answer 1

Anna Andrews

See below

If you get what a #pi/8# degree angle is, then the result will be three times that angle.

Let's go for recursive divisions. We know that #\pi# is a straight angle, #180°#, half a circle.

So, #pi/2# will be half of that angle, which is a quarter of a circle.

#pi/4# will be half of that angle, and #pi/8#, again, its half.

We can also write #{3pi}/8# as #pi/4+pi/8#. So, starting from half a quarter of a circle, we must take another step of #pi/8#.

I will attempt to identify the key points of this entire procedure as follows:

So, #{3pi}/8=pi/4+pi/8# = north-north-east.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.