In the triangle shown we can find the angle as follows. (a) (b) (c) = sin e cos = tan-1 15 12 0 9
In the triangle shown we can find the angle as follows. (a) (b) (c) = sin e cos = tan-1 15 12 0 9
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![**Transcription:**
In the triangle shown we can find the angle \( \theta \) as follows.
[Diagram of a right triangle with sides labeled: 9, 12, and 15. The angle \( \theta \) is opposite the side labeled 9, adjacent to the side labeled 12, and the hypotenuse is the side labeled 15. The right angle is marked at the intersection of the sides 9 and 12.]
(a) \( \theta = \sin^{-1} \left( \frac{\text{opposite}}{\text{hypotenuse}} \right) \)
(b) \( \theta = \cos^{-1} \left( \frac{\text{adjacent}}{\text{hypotenuse}} \right) \)
(c) \( \theta = \tan^{-1} \left( \frac{\text{opposite}}{\text{adjacent}} \right) \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffade0bae-4c2d-48bb-abcb-ea0806dfa137%2Fb4cbe659-5625-46f7-8597-908818cb939a%2Fj64h9f8_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription:**
In the triangle shown we can find the angle \( \theta \) as follows.
[Diagram of a right triangle with sides labeled: 9, 12, and 15. The angle \( \theta \) is opposite the side labeled 9, adjacent to the side labeled 12, and the hypotenuse is the side labeled 15. The right angle is marked at the intersection of the sides 9 and 12.]
(a) \( \theta = \sin^{-1} \left( \frac{\text{opposite}}{\text{hypotenuse}} \right) \)
(b) \( \theta = \cos^{-1} \left( \frac{\text{adjacent}}{\text{hypotenuse}} \right) \)
(c) \( \theta = \tan^{-1} \left( \frac{\text{opposite}}{\text{adjacent}} \right) \)
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