Question

On a unit circle, the terminal point of θ is (√2/2, √2/2). What is θ?

Answer 1

Given:

On a unit circle, the terminal point of θ is
`\left((√(2))/(2),(√(2))/(2)\right)`.

To find:

The value of
`\theta`.

Solution:

If the terminal point of θ is (x,y), then

`\tan \theta=(y)/(x)`

On a unit circle, the terminal point of θ is
`\left((√(2))/(2),(√(2))/(2)\right)`. So,

`\tan \theta=((√(2))/(2))/((√(2))/(2))`

`\tan \theta=1`

`\tan \theta=\tan (\pi)/(4)`

`\theta=(\pi)/(4)`

Therefore, the correct option is D.