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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=

Consider the angle shown below with an initial ray pointing in the 3oclock direction that measures θ radians where 0θlt2π The circles radius is 25 units long an class=

Respuesta :

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

[tex]tg(\theta)=\frac{1.07}{-2.26}[/tex]

and we solve for theta so:

[tex]\begin{gathered} \theta=tg^{-1}(-0.47) \\ \theta=154.83 \\ \theta=0.86\pi \end{gathered}[/tex]

So the answer in radians is 0.86 pi

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