Given a right triangle, which of the following is equal to ?
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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Given a circle with center O , points A and B on the circle, and point D on the circle such that arc AB has a measure of , what is the measure of angle BDA , where BDA is an inscribed angle that intercepts arc AB ?
A
B
C
D
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Verified step by step guidance1
Recall the Inscribed Angle Theorem, which states that an inscribed angle in a circle is half the measure of the arc it intercepts. In other words, if an inscribed angle intercepts an arc of measure \( x \) degrees, then the angle measures \( \frac{x}{2} \) degrees.
Identify the given information: the arc \( AB \) measures \( 80^\circ \), and \( \angle BDA \) is an inscribed angle intercepting this arc.
Apply the Inscribed Angle Theorem to find \( \angle BDA \). Since \( \angle BDA \) intercepts arc \( AB \), its measure is half of \( 80^\circ \).
Write the formula for the angle measure: \( \angle BDA = \frac{1}{2} \times 80^\circ \).
Simplify the expression to find the measure of \( \angle BDA \) (do not calculate the final numeric value here, just set up the expression).
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