Given a right triangle with sides , , and hypotenuse , and angle opposite side , which of the following correctly expresses in terms of the triangle's sides?
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 and the other acute angle is , if , what is the measure of angle ?
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Verified step by step guidance1
Recall that in a right triangle, the sum of the three interior angles is always 180 degrees.
Since one angle is a right angle, it measures 90 degrees.
The other two angles, which are acute, must add up to 90 degrees because 180 - 90 = 90.
Given that one acute angle is \( x = 13^\circ \), use the equation \( x + y = 90^\circ \) to find the other angle \( y \).
Rearrange the equation to solve for \( y \): \( y = 90^\circ - x \), then substitute \( x = 13^\circ \) to express \( y \) in terms of a number.
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