Use the quotient, reciprocal, or the Pythagorean identities to simplify each expression to a single trigonometric function or number. 1) cot sin = 2) tan csc 0 = 3) sec 0 cos 0 =

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°.
Question
Use the quotient, reciprocal, or the Pythagorean identities to simplify each expression to a single trigonometric function or number.

1) \(\cot \theta \sin \theta =\) [    ]

2) \(\tan \theta \csc \theta =\) [    ]

3) \(\sec \theta \cos \theta =\) [    ]

4) \((\csc \theta + 1)(\csc \theta - 1) =\) [    ]

5) \(\sec \theta \cot \theta =\) [    ]

Available options to fill in the blanks:

- \(\sec \theta\)
- \(\cos \theta\)
- \(\cot^2 \theta\)
- \(\tan^2 \theta\)
- \(1\)
- \(\sin \theta\)
- \(\csc \theta\)
- \(\sin^2 \theta\)
Transcribed Image Text:Use the quotient, reciprocal, or the Pythagorean identities to simplify each expression to a single trigonometric function or number. 1) \(\cot \theta \sin \theta =\) [ ] 2) \(\tan \theta \csc \theta =\) [ ] 3) \(\sec \theta \cos \theta =\) [ ] 4) \((\csc \theta + 1)(\csc \theta - 1) =\) [ ] 5) \(\sec \theta \cot \theta =\) [ ] Available options to fill in the blanks: - \(\sec \theta\) - \(\cos \theta\) - \(\cot^2 \theta\) - \(\tan^2 \theta\) - \(1\) - \(\sin \theta\) - \(\csc \theta\) - \(\sin^2 \theta\)
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