Book Problem # 12 -Sin (x)• COS (x) • Sec(x)• SCCx) • tan (x) Cotx)
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°.
Related questions
Question
![**Book Problem #12**
\[
\frac{-\sin(-x) \cdot \cos(x) \cdot \sec(x) \cdot \csc(x) \cdot \tan(x)}{\cot(x)}
\]
**Explanation:**
This expression represents a trigonometric function combination that involves several common trigonometric identities:
- **\(-\sin(-x)\):** Negation and even-odd identity of sine.
- **\(\cos(x)\):** Cosine function.
- **\(\sec(x)\):** Secant function, the reciprocal of cosine.
- **\(\csc(x)\):** Cosecant function, the reciprocal of sine.
- **\(\tan(x)\):** Tangent function, the ratio of sine to cosine.
- **\(\cot(x)\):** Cotangent function, the reciprocal of tangent or the ratio of cosine to sine.
This type of expression would typically be simplified using trigonometric identities and algebraic manipulation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c5734d7-71be-4626-8cb5-227ca6c7fb69%2F19a299d8-8288-491f-a930-f6511d736438%2F7edi3ic_processed.png&w=3840&q=75)
Transcribed Image Text:**Book Problem #12**
\[
\frac{-\sin(-x) \cdot \cos(x) \cdot \sec(x) \cdot \csc(x) \cdot \tan(x)}{\cot(x)}
\]
**Explanation:**
This expression represents a trigonometric function combination that involves several common trigonometric identities:
- **\(-\sin(-x)\):** Negation and even-odd identity of sine.
- **\(\cos(x)\):** Cosine function.
- **\(\sec(x)\):** Secant function, the reciprocal of cosine.
- **\(\csc(x)\):** Cosecant function, the reciprocal of sine.
- **\(\tan(x)\):** Tangent function, the ratio of sine to cosine.
- **\(\cot(x)\):** Cotangent function, the reciprocal of tangent or the ratio of cosine to sine.
This type of expression would typically be simplified using trigonometric identities and algebraic manipulation.
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