Trigonometry - For what numbers Ө is f(Ө)= csc Ө not defined?
The correct answer is: Integral multiples of pi (180 degrees) => but why? How do you know it?
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The correct answer is: Integral multiples of pi (180 degrees) => but why? How do you know it?
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Because csc(theta) = 1/sin(theta),
and sin(theta) is 0 whenever the terminal side of the angle coincides with x axis, i.e.,
the angle is 0, +/- 180 deg, +/- 360 deg, etc:
or in radian measure, an integer multiple of pi.
SInce csc(Ó¨ ) = 1/sin(Ó¨),When sin(Ó¨) = 0
==> Ó¨ = 0, 180, 360, 180 * n where n is an integer.