Question

at which angles are the x and y coordinate on the unit circle exactly the same? give your answer in radians and degrees

Answer 1

Answer:

In radian :

$\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}$

In degree :

45° and 225°

Step-by-step explanation:

the x and y coordinate on the unit circle exactly the same at the angles :

In radian :

$\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}$

In degree :

45° and 225°

At those angles :

$\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)$