Trigonometry Basics

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1. How many sides and angles does a triangle have?
   Solution
   3
2. Find the sum of the interior angles of a triangle
   Solution
   180 degrees
3. $\theta$ represents one angle of an equilateral triangle. Find $\theta$
   Solution
   60 degrees
4. Find $\theta$ in the isosceles triangle below:
   
   Solution
   75 degrees
5. Is the following triangle equilateral, isosceles, or scalene?
   
   Solution
   Scalene
6. See the right triangle below:
   
   1. Find the length of the unknown side
      Solution
      $4$
   2. Perimeter?
      Solution
      $12$
   3. Area?
      Solution
      $6$
7. Find $\theta$ in the triangle below:
   
8. Converting angles (degrees and radians):
   1. Convert $4\pi$ radians to degrees
   2. Convert 225 degrees to radians
   3. Challenge: Convert $\pi^\circ$

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