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Find all degree solutions in the interval 0 ≤ θ < 360. If rounding is necessary, round to the nearest tenth of a degree.
Use your graphing calculator to verify the solution graphically. (Enter your answers as a comma-separated list.)
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= ,
= , <----- multiply both sides by . You will get
= , <----- replace by
= ,
= ,
= .
Now introduce new variable x = for brevity. Then the last equation takes the form
= .
Solve this quadratic equation using the quadratic formula. You will get the roots
= and = .
First root doesn't fit, since it is greater than 1.
Only the root x = fits.
Thus = .
Hence, = 210 or = 330.
Answer. = 210 or = 330.