The angle that has the terminal point coordinates of (√2/2,-√2/2) is 7π/4
How to determine the angle?
The terminal point is given as:
Point = (√2/2,-√2/2)
On a unit circle, we have:
(cos(θ), sin(θ)) = (x,y)
This means that:
(cos(θ), sin(θ)) = (√2/2,-√2/2)
By comparison, we have:
cos(θ) = -√2/2
sin(θ) = √2/2
Using the sine angle, we have:
sin(θ) = √2/2
Take the arc sin of bot sides
θ = 7π/4
Hence, the angle that has the terminal point coordinates is 7π/4
Read more about terminal points at:
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