6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this identity: cos³ (0) sin² (0) = (sin²(0) — sinª(0)) cos(0) You must work!
6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this identity: cos³ (0) sin² (0) = (sin²(0) — sinª(0)) cos(0) You must work!
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Trigonometric Identity Verification
**Problem 6: Verify this identity**
\[
\frac{\sec^2(\theta) - 1}{\sec^2(\theta)} = \sin^2(\theta)
\]
*You must show all work!*
---
**Problem 7: Verify this identity**
\[
\cos^3(\theta) \sin^2(\theta) = (\sin^2(\theta) - \sin^4(\theta)) \cos(\theta)
\]
*You must show all work!*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1c81f19-6b44-4c48-9f6b-8f6cecd1e5f5%2F30d38f40-846b-4680-ad92-a19fb5e248c8%2Ftz4kx9_processed.png&w=3840&q=75)
Transcribed Image Text:### Trigonometric Identity Verification
**Problem 6: Verify this identity**
\[
\frac{\sec^2(\theta) - 1}{\sec^2(\theta)} = \sin^2(\theta)
\]
*You must show all work!*
---
**Problem 7: Verify this identity**
\[
\cos^3(\theta) \sin^2(\theta) = (\sin^2(\theta) - \sin^4(\theta)) \cos(\theta)
\]
*You must show all work!*
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