In a right triangle, which trigonometric ratio is calculated by ?
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
A regular -gon is a polygon with equal sides and angles. What is the measure of each interior angle of a regular -gon? If necessary, round your answer to the nearest tenth. (Use the formula for each interior angle: where is the number of sides.)
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Verified step by step guidance1
Identify the number of sides of the regular polygon, which is given as \(n = 22\).
Recall the formula for the measure of each interior angle of a regular polygon:
\(\text{Interior Angle} = \frac{(n - 2) \times 180}{n}\)
Substitute \(n = 22\) into the formula:
\(\text{Interior Angle} = \frac{(22 - 2) \times 180}{22}\)
Simplify the numerator by calculating \((22 - 2) = 20\), so the expression becomes:
\(\text{Interior Angle} = \frac{20 \times 180}{22}\)
Calculate the fraction and multiply to find the measure of each interior angle, then round the result to the nearest tenth if necessary.
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