Question

On a unit circle, the terminal point of theta is (1/2, sqrt3/2). What is theta if 0º

Answer 1

Given:

The coordinates of the terminal point of θ in the unit circle is,

`(x,y)=((1)/(2),\text{ }\frac{\sqrt[]{3}}{2})`

The x coordinate of the terminal point is x=cos θ.

Hence, we can write

`\begin{gathered} x=(1)/(2)=\cos \theta \\ (1)/(2)=\cos \theta \end{gathered}`

The cosine of θ has value 1/2 when θ=60° .

Therefore, the value of θ is 60° .