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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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Question
Evaluate without using calculator
![The image contains the mathematical expression:
\[
\tan\left(\cos^{-1}\left(\frac{3}{5}\right)\right)
\]
This expression involves finding the tangent of the angle whose cosine is \(\frac{3}{5}\).
### Explanation
1. **Inverse Cosine Function (\(\cos^{-1}\))**: This function provides the angle whose cosine value is \(\frac{3}{5}\).
2. **Tangent Function (\(\tan\))**: Once the angle is determined from the inverse cosine function, the tangent of that angle is calculated.
This type of trigonometric problem often appears in geometry, calculus, or pre-calculus courses when exploring the relationships between different trigonometric functions and their inverses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9f6febe-def2-4c6a-906e-9f166e913905%2Fb5a13b6a-f874-49f5-80bc-58642fdcd664%2Fbslc2j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the mathematical expression:
\[
\tan\left(\cos^{-1}\left(\frac{3}{5}\right)\right)
\]
This expression involves finding the tangent of the angle whose cosine is \(\frac{3}{5}\).
### Explanation
1. **Inverse Cosine Function (\(\cos^{-1}\))**: This function provides the angle whose cosine value is \(\frac{3}{5}\).
2. **Tangent Function (\(\tan\))**: Once the angle is determined from the inverse cosine function, the tangent of that angle is calculated.
This type of trigonometric problem often appears in geometry, calculus, or pre-calculus courses when exploring the relationships between different trigonometric functions and their inverses.
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