1- tan e 5) 1- tane sec* e-2 sec? 0+1 6) csc? 0 -1
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
Complete simplify each problem so that no quotient is in the answer.
![**Problem 5:**
\[
\frac{1 - \tan^3 \theta}{1 - \tan \theta}
\]
This expression involves simplifying a fraction where both the numerator and denominator include the tangent function of an angle \(\theta\). The numerator is \(1 - \tan^3 \theta\) and the denominator is \(1 - \tan \theta\).
**Problem 6:**
\[
\frac{\sec^4 \theta - 2\sec^2 \theta + 1}{\csc^2 \theta - 1}
\]
This expression involves a fraction. The numerator is a polynomial expression in terms of \(\sec \theta\), specifically \(\sec^4 \theta - 2\sec^2 \theta + 1\). The denominator is given as \(\csc^2 \theta - 1\).
There are no graphs or diagrams in this image, only algebraic expressions that require simplification or analysis using trigonometric identities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd9448c9-9639-4279-8a27-332e65606234%2F1d3b5d9f-8840-4c6a-a126-34e100d611ac%2Fqm6t2ys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5:**
\[
\frac{1 - \tan^3 \theta}{1 - \tan \theta}
\]
This expression involves simplifying a fraction where both the numerator and denominator include the tangent function of an angle \(\theta\). The numerator is \(1 - \tan^3 \theta\) and the denominator is \(1 - \tan \theta\).
**Problem 6:**
\[
\frac{\sec^4 \theta - 2\sec^2 \theta + 1}{\csc^2 \theta - 1}
\]
This expression involves a fraction. The numerator is a polynomial expression in terms of \(\sec \theta\), specifically \(\sec^4 \theta - 2\sec^2 \theta + 1\). The denominator is given as \(\csc^2 \theta - 1\).
There are no graphs or diagrams in this image, only algebraic expressions that require simplification or analysis using trigonometric identities.
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