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Answer the following. (a) Find an angle between 0 and 2π that is coterminal with -13T/12 (b) Find an angle between 0° and 360° that is coterminal with 810°. Give exact values for your answers.

Answer the following. (a) Find an angle between 0 and 2π that is coterminal with -13T-example-1
User Mansi  Teharia
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1 Answer

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(a) Find an angle between 0 and 2π that is coterminal with -13π/12.

To get coterminal angles, we simply have to add or subtract 2π. In this problem, we are looking for a coterminal angle that is between 0 and 2π, so we will add 2π to -13π/12:


(-13\pi)/(12)+2\pi=(11\pi)/(12)

(b) Find an angle between 0° and 360° that is coterminal with 810°.

Similarly to the previous exercise, we will substract 360° to 810° to find a coterminal angle that is between 0 and 360°:


\begin{gathered} 810\text{\degree}-360\text{\degree}=450\text{\degree} \\ 450\text{\degree}-360\text{\degree = 90\degree} \end{gathered}

ANSWER

a. 11π/12

b. 90°

User Tawkir
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