Question

107(a) Find an angle between 0 and 2n that is coterminal with3(b) Find an angle between 0° and 360° that is coterminal with -240°.

Answer 1

Given:

(a) Find an angle between 0 and 2π that is coterminal with 10π/3

The given angle (10π/3) > 2π

So, we will subtract 2π to get the coterminal angle

$\frac{10π}{3}-2π=\frac{4π}{3}$

So, the answer will be 4π/3

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(b) Find an angle between 0 and 360 that is coterminal with -240

The given angle is a negative value of the angle, to get the positive value add 360

So,

$-240\operatorname{\degree}=-240\operatorname{\degree}+360\degree=120\operatorname{\degree}$

So, the answer will be 120°