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 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
If the measure of arc QS is degrees and arc QS is a semicircle, what is the value of ?
A
B
C
D
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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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