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Find all solutions with -90^\circ < \theta < 90^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinetan(θ)=0\tan (\theta) = 0\newline____\_\_\_\_\,^\circ

Full solution

Q. Find all solutions with 90<θ<90-90^\circ < \theta < 90^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinetan(θ)=0\tan (\theta) = 0\newline____\_\_\_\_\,^\circ
  1. Tangent of an Angle: The tangent of an angle is 00 when the sine is 00 and the cosine is not 00. This happens at 00^\circ and 180180^\circ, but since we're looking for angles between 90-90^\circ and 9090^\circ, we only consider 00^\circ.
  2. Solution: So the solution is θ=0\theta = 0^\circ because tan(0)=0\tan(0^\circ) = 0.

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