If , find the values of the five other trigonometric functions. Rationalize the denominators if necessary.
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- 0. Functions4h 53m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation2h 18m
- 4. Derivatives of Exponential & Logarithmic Functions1h 16m
- 5. Applications of Derivatives2h 19m
- 6. Graphical Applications of Derivatives6h 0m
- 7. Antiderivatives & Indefinite Integrals48m
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- 10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- 11. Techniques of Integration2h 7m
- 12. Trigonometric Functions6h 54m
- Angles29m
- Trigonometric Functions on Right Triangles1h 8m
- Solving Right Triangles23m
- Trigonometric Functions on the Unit Circle1h 19m
- Graphs of Sine & Cosine46m
- Graphs of Other Trigonometric Functions32m
- Trigonometric Identities52m
- Derivatives of Trig Functions42m
- Integrals of Basic Trig Functions28m
- Integrals of Other Trig Functions10m
- 13: Intro to Differential Equations2h 23m
- 14. Sequences & Series2h 8m
- 15. Power Series2h 19m
- 16. Probability & Calculus45m
12. Trigonometric Functions
Trigonometric Functions on Right Triangles
객관식
Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

A
x=81
B
x=92
C
x=29
D
x=162
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검증된 단계별 안내1
Step 1: Recognize that the triangle is a 45°-45°-90° triangle. In this type of triangle, the legs are congruent, and the hypotenuse is √2 times the length of a leg.
Step 2: Identify the given information. Both legs of the triangle are equal to 9 units, and the hypotenuse is labeled as x.
Step 3: Use the property of 45°-45°-90° triangles to express the hypotenuse. The formula for the hypotenuse is: hypotenuse = leg × √2.
Step 4: Substitute the length of the leg (9) into the formula: x = 9 × √2.
Step 5: Simplify the expression for the hypotenuse. The hypotenuse is x = 9√2.
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