Given a right triangle with angle at vertex , which equation can be used to find the measure of angle if the length of the side opposite is and the hypotenuse is ?
Table of contents
- 0. Review of College Algebra4h 45m
- 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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
If the measure of arc QS is degrees and arc QS is a semicircle, what is the value of ?
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Verified step by step guidance1
Recall that a semicircle measures exactly 180 degrees because it represents half of a full circle.
Set up the equation by equating the given expression for arc QS to 180 degrees: \$4x - 18 = 180$.
Add 18 to both sides of the equation to isolate the term with \(x\): \$4x = 180 + 18$.
Simplify the right side: \$4x = 198$.
Divide both sides by 4 to solve for \(x\): \(x = \frac{198}{4}\).
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