Omar wants to determine in a right triangle. If the length of the adjacent side to angle is 5 units and the hypotenuse is 13 units, what is ?
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
In circle , and are diameters. Arc measures . What is the measure of arc ?
A
B
C
D
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Verified step by step guidance1
Identify that points A, B and C, D are diameters of circle O, meaning each pair divides the circle into two arcs of 180° each.
Since AB and CD are diameters, arcs AB and CD each measure 180°.
Given that arc ED measures 170°, recognize that arc ED is part of the circle and lies between points E and D on the circumference.
Use the fact that the total measure of the circle is 360°, and consider the arcs around the circle to express arc AE in terms of known arcs: for example, arc AE = 360° - (arc ED + arc AB or CD, depending on the position of E).
Set up the equation for arc AE using the known arc measures and solve for arc AE without calculating the final numeric value.
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