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

On a unit circle, the terminal point of θ is

genyjoannerubiera

20.08.2021

Given:

On a unit circle, the terminal point of θ is $\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)$ .

To find:

The value of $\theta$ .

Solution:

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

$\tan \theta=\dfrac{y}{x}$

On a unit circle, the terminal point of θ is $\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)$ . So,

$\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}$

$\tan \theta=1$

$\tan \theta=\tan \dfrac{\pi}{4}$

$\theta=\dfrac{\pi}{4}$

Therefore, the correct option is D.

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youngchapo813p8d9u1

23.07.2021

Give perfect a break

Step-by-step explanation:

(that is always what I say to myself when i am sad)

Pls mark Brainliest

And most importnatly Have a amazing day!

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