In a right triangle, if angle is one of the non-right angles and the other non-right angle measures , 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
- 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 which right triangle is the value of equal to ?
A
A triangle where the length of the adjacent side to angle is and the hypotenuse is
B
A triangle where the length of the opposite side to angle is and the hypotenuse is
C
A triangle where the length of the opposite side to angle is and the adjacent side is
D
A triangle where the length of the adjacent side to angle is and the hypotenuse is
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Verified step by step guidance1
Recall the definition of cosine in a right triangle: \(\cos(x) = \frac{\text{adjacent side}}{\text{hypotenuse}}\).
The expression \(x = \cos^{-1}\left(\frac{4.3}{6.7}\right)\) means that the cosine of angle \(x\) is \(\frac{4.3}{6.7}\).
Identify which sides correspond to the numerator and denominator in the fraction \(\frac{4.3}{6.7}\): the numerator (4.3) represents the length of the adjacent side to angle \(x\), and the denominator (6.7) represents the hypotenuse.
Compare this ratio to the given triangle options to find the one where the adjacent side to angle \(x\) is 4.3 and the hypotenuse is 6.7.
Confirm that this triangle matches the cosine ratio, which means \(x\) is the angle whose cosine is \(\frac{4.3}{6.7}\), consistent with the inverse cosine expression.
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