Triangle is rotated counterclockwise about point to create triangle . What is the measure of angle ?
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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Struggling with Trigonometry?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Given a right triangle where angle is , which of the following statements is true?
A
Angle must be .
B
This is not possible because the measure of an angle in a right triangle cannot be .
C
Angle must be .
D
Verified step by step guidance1
Recall that in a right triangle, one of the angles is always 90° by definition.
The sum of the interior angles in any triangle is always 180°, so the other two angles must add up to 90°.
Given that angle B is stated as 152°, check if this is possible in a right triangle by comparing it to the 90° right angle and the total 180° sum.
Since 152° is greater than 90°, it cannot be one of the angles in a right triangle because the right angle already takes 90°, leaving only 90° for the other two angles combined.
Therefore, conclude that having an angle of 152° in a right triangle is impossible, making the statements about angles C and A incorrect.
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Trigonometric Functions on Right Triangles practice set

