In which right triangle is the value of equal to ?
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
In a right triangle, if one of the acute angles is , what expression represents the measure of the other acute 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.
Let the two acute angles be \( a \) and \( x \). Because the sum of all angles is 180 degrees, we have the equation: \( a + x + 90 = 180 \).
To find the expression for the other acute angle \( x \), isolate \( x \) by subtracting \( a \) and 90 from both sides: \( x = 180 - 90 - a \).
Simplify the right side to get \( x = 90 - a \), which represents the measure of the other acute angle.
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