Given a right triangle with angles and (other than the right angle) such that , what is the relationship between and ?
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
Given a right triangle where one of the acute angles is , what is the measure of the other acute angle?
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Verified step by step guidance1
Recall that the sum of the interior angles in any triangle is always \(180^\circ\).
In a right triangle, one angle is always \(90^\circ\) by definition.
Given one of the acute angles is \(30^\circ\), add the right angle and this acute angle: \(90^\circ + 30^\circ = 120^\circ\).
Subtract this sum from \(180^\circ\) to find the measure of the other acute angle: \(180^\circ - 120^\circ\).
The result is the measure of the other acute angle, which completes the triangle.
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