Question

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2.5 units long and the terminal point is (−2.26,1.07).What is the angle's measures (in radians)?θ=

Answer 1

To solve this problem we can find the angle in terms of the trigonometric identities so we can use tg that is:

$tg(\theta)=\frac{1.07}{-2.26}$

and we solve for theta so:

$\begin{gathered} \theta=tg^{-1}(-0.47) \\ \theta=154.83 \\ \theta=0.86\pi \end{gathered}$

So the answer in radians is 0.86 pi