Question

Amdes and Ame Measure

Answer 1

To answer this question, we need to find the measure of the angle from the x-axis taking into account the measure of the other angle from the y-axis. In this case, the value from the x-axis to the y-axis is equal to pi/2, then, we have that the angle from the x-axis is equal to:

`(\pi)/(2)-(\pi)/(4)=(\pi)/(4)`

Then, we have:

As we can see from the picture, we have two complete rounds to the unit circle. Then, the value for the angle is:

`2\pi+2\pi+(\pi)/(4)=4\pi+(\pi)/(4)=(17)/(4)\pi\approx13.3517687778`

We need to remember that each round to the unit circle is equal to 2pi radians. We have two rounds to this unit circle, and we need to add after this pi/4. Then, we have that the value for the angle is:

`(17)/(4)\pi\approx13.3517687778`

The answer is in radians.