Triangle is rotated clockwise about the origin to form . If , what is the sine 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
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Given a right triangle, what is the measure of angle if is the smallest angle and the other two angles are and ?
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Verified step by step guidance1
Recall that the sum of the interior angles in any triangle is always 180 degrees. This is a fundamental property of triangles.
Identify the given angles in the triangle: one angle is 90° (since it's a right triangle), and another angle is given as 71°.
Let the measure of angle A be denoted as \(\angle A\). Since the sum of all angles must be 180°, set up the equation: \(\angle A + 90^\circ + 71^\circ = 180^\circ\).
Simplify the equation by adding the known angles: \$90^\circ + 71^\circ = 161^\circ\(, so the equation becomes \)\angle A + 161^\circ = 180^\circ$.
Solve for \(\angle A\) by subtracting 161° from both sides: \(\angle A = 180^\circ - 161^\circ\). This will give the measure of angle A.
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