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

In radian :

`(\pi )/(4) \ \text{and}\ (5\pi )/(4)`

In degree :

45° and 225°

Explanation:

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

In radian :

`(\pi )/(4) \ \text{and}\ (5\pi )/(4)`

In degree :

45° and 225°

At those angles :

`\left( x,y\right) =\left( (√(2) )/(2) ,(√(2) )/(2) \right) \ or\ \left( x,y\right) =\left( -(√(2) )/(2) ,-(√(2) )/(2) \right)`