2 tan ² (1.4) - sec ² (1.4)= = |
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
Explain the reasoning while being clear concise and accurate why this equals -1
![### Step 1
\[
\tan^2(1.4) - \sec^2(1.4) = -1 \, ?
\]
### Step 2
#### Trigonometric Identity:
\[
\sec^2 \theta - \tan^2 \theta = 1
\]
**Multiply by (-1) on both sides:**
\[
-\sec^2 \theta + \tan^2 \theta = -1
\]
\[
\tan^2 \theta - \sec^2 \theta = -1
\]
**Put** \(\theta = 1.4\)
\[
\tan^2(1.4) - \sec^2(1.4) = -1
\]
**Conclusion:**
Yes, we can write:
\[
\tan^2(1.4) - \sec^2(1.4) = -1
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ff38a7-2f9f-48aa-a5f6-f55a721c1ef0%2F3045fa24-2f21-4661-8046-b98319044e1e%2Fztfis66_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Step 1
\[
\tan^2(1.4) - \sec^2(1.4) = -1 \, ?
\]
### Step 2
#### Trigonometric Identity:
\[
\sec^2 \theta - \tan^2 \theta = 1
\]
**Multiply by (-1) on both sides:**
\[
-\sec^2 \theta + \tan^2 \theta = -1
\]
\[
\tan^2 \theta - \sec^2 \theta = -1
\]
**Put** \(\theta = 1.4\)
\[
\tan^2(1.4) - \sec^2(1.4) = -1
\]
**Conclusion:**
Yes, we can write:
\[
\tan^2(1.4) - \sec^2(1.4) = -1
\]
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