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Which quadrant contains - 11n/18 and what is the reference angle?

Which quadrant contains - 11n/18 and what is the reference angle?-example-1

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Answer:

option B: III , 7pi/18

Explanation:

Given angle is
(-11\pi)/(18)

Given angle is negative , so we add 2pi


(-11\pi)/(18)+2\pi

Take common denominator 18


(-11\pi+36\pi)/(18)


(25\pi)/(18)

pi is 180 degree. Lets find degree for this radians

25 * 180 / 18 = 250 degree

250 degree lies in third quadrant (III)

Now we find reference angle

to find the reference angle for the angle in third quadrant we subtract 180

250 - 180 = 70 degree

now convert it into radians


70 * (\pi )/(180) =(7\pi )/(18)



User Alex Harris
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