1 2 cos x- sec x 2
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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verify that one image equals the other
![The text in the image is a mathematical expression related to trigonometry. It is written as:
\[ \cos x + \frac{1}{2} \cos 2x \sec x \]
- **cos x**: This represents the cosine of an angle \( x \).
- **\(\frac{1}{2}\)**: This is a constant multiplier, one-half.
- **cos 2x**: This represents the cosine of twice the angle, \( 2x \), which is a trigonometric identity function.
- **sec x**: This is the secant of the angle \( x \), which is the reciprocal of the cosine function, or \(\frac{1}{\cos x}\).
This expression combines trigonometric functions and demonstrates how they can be multiplied and added.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4167b07b-ab2c-42e3-ab89-9f12261de975%2F847938dd-2578-4ce2-87d8-5b0663353351%2F3tftjve_processed.png&w=3840&q=75)
Transcribed Image Text:The text in the image is a mathematical expression related to trigonometry. It is written as:
\[ \cos x + \frac{1}{2} \cos 2x \sec x \]
- **cos x**: This represents the cosine of an angle \( x \).
- **\(\frac{1}{2}\)**: This is a constant multiplier, one-half.
- **cos 2x**: This represents the cosine of twice the angle, \( 2x \), which is a trigonometric identity function.
- **sec x**: This is the secant of the angle \( x \), which is the reciprocal of the cosine function, or \(\frac{1}{\cos x}\).
This expression combines trigonometric functions and demonstrates how they can be multiplied and added.
![The expression shown in the image is:
\[ 2 \cos x - \frac{1}{2} \sec x \]
This is a trigonometric expression involving:
- \( \cos x \): The cosine of angle \( x \).
- \( \sec x \): The secant of angle \( x \), which is the reciprocal of cosine, i.e., \( \sec x = \frac{1}{\cos x} \).
This formula is useful in various mathematical analyses involving trigonometric identities and simplifications. The term \( 2 \cos x \) represents two times the cosine of \( x \), while \( \frac{1}{2} \sec x \) indicates half of the secant of \( x \). Subtracting these two values yields the complete expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4167b07b-ab2c-42e3-ab89-9f12261de975%2F847938dd-2578-4ce2-87d8-5b0663353351%2Fz7kes_processed.png&w=3840&q=75)
Transcribed Image Text:The expression shown in the image is:
\[ 2 \cos x - \frac{1}{2} \sec x \]
This is a trigonometric expression involving:
- \( \cos x \): The cosine of angle \( x \).
- \( \sec x \): The secant of angle \( x \), which is the reciprocal of cosine, i.e., \( \sec x = \frac{1}{\cos x} \).
This formula is useful in various mathematical analyses involving trigonometric identities and simplifications. The term \( 2 \cos x \) represents two times the cosine of \( x \), while \( \frac{1}{2} \sec x \) indicates half of the secant of \( x \). Subtracting these two values yields the complete expression.
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