Could you please write the answers clearly and understandably? Thank you. **Verifying the Trigonometric Identity**The goal is to verify the trigonometric identity:\[\frac{\csc(x) - \cot(x)}{\sec(x) - 1} = \cot(x)\]**Step-by-Step Verification:**1. **Start with LHS:** \[ \frac{\csc(x) - \cot(x)}{\sec(x) - 1} \]2. **Reciprocal Trigonometric Identities:** Using the identities \(\csc(x) = \frac{1}{\sin(x)}\), \(\cot(x) = \frac{\cos(x)}{\sin(x)}\), and \(\sec(x) = \frac{1}{\cos(x)}\), the expression becomes: \[ \frac{\frac{1}{\sin(x)} - \frac{\cos(x)}{\sin(x)}}{\frac{1}{\cos(x)} - 1} \]3. **Simplify the Numerator:** \[ = \frac{\frac{1 - \cos(x)}{\sin(x)}}{\frac{1}{\cos(x)} - 1} \]4. **Simplify the Denominator:** \[ = \frac{1 - \cos(x)}{\sin(x)} \cdot \frac{\cos(x)}{1 - \cos(x)} \]5. **Cancel Common Terms:** \[ = \frac{\cos(x)}{\sin(x)} \]6. **Simplified Result:** \[ = \cot(x) \]**Conclusion:**Thus, the identity is verified:\[\frac{\csc(x) - \cot(x)}{\sec(x) - 1} = \cot(x)\]Need Help?- **Read It**: Access a detailed explanation and examples.- **Watch It**: View a video tutorial for step-by-step guidance.

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Verify the identity. csc(x) - cot(x) - cot(x) sec(x) – 1 cos(x) sin(x) sin(x) csc(x) – cot(x) sec(x) – 1 1 cos(x) sin(x). sin(x) cos(x) sin(x) sin(x) cos(x) cos(x) - cos (x) sin(x) – sin(x) cos(x) cost»(1 - ([ sin(x)(1 – cos(x)) sin(x) cot(x) Need Help? Read It Watch It

Verify the identity. csc(x) - cot(x) - cot(x) sec(x) – 1 cos(x) sin(x) sin(x) csc(x) – cot(x) sec(x) – 1 1 cos(x) sin(x). sin(x) cos(x) sin(x) sin(x) cos(x) cos(x) - cos (x) sin(x) – sin(x) cos(x) cost»(1 - ([ sin(x)(1 – cos(x)) sin(x) cot(x) Need Help? Read It Watch It

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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