Give exact, simplified answers. sin - csc - sin 240° = tan T cos 12 sin (-4) sin - lan '(부) - tan 90°- cos (-) cos 0- tan (1) sec 90° = cos 45 sin 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°.
icon
Related questions
Topic Video
Question
### Trigonometric Values and Inverse Trigonometry Practice

Use a straight edge to make a grid matching the size shown and put only your final answer in the boxes. For clarity, you may show the given expression with an equal sign before your answer. Use "undefined" rather than DNE if the ratio gives zero in the denominator. Give any angle answers in radians (real numbers).

#### Give exact, simplified answers:

| Trigonometric Expression | Result |
|--------------------------|--------|
| \(\sin \frac{3\pi}{2}\)           |        |
| \(\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\)     |        |
| \(\cos 0\)             |        |
| \(\tan \pi\)           |        |
| \(\tan 90^\circ\)      |        |
| \(\tan^{-1}(1)\)       |        |
| \(\csc \frac{\pi}{4}\) |        |
| \(\cos^{-1}\left(-\frac{1}{2}\right)\) |        |
| \(\sec 90^\circ\)      |        |
| \(\cos \frac{11\pi}{12}\)     |        |
| \(\sin \frac{5\pi}{7}\)       |        |
| \(\sin 0\)             |        |
| \(\sin 240^\circ\)      |        |
| \(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\)   |        |
| \(\cos 45^\circ\)      |        |

#### Instructions for Students:
- Carefully draw a grid with matching row and column sizes.
- Evaluate each trigonometric expression precisely.
- Simplify your answers and write them in the respective boxes.
- Remember to write angle measures in radians when applicable.
- If any ratio results in division by zero, use the term "undefined."

This exercise is designed to reinforce your understanding of both standard trigonometric values and inverse trigonometric functions.
Transcribed Image Text:### Trigonometric Values and Inverse Trigonometry Practice Use a straight edge to make a grid matching the size shown and put only your final answer in the boxes. For clarity, you may show the given expression with an equal sign before your answer. Use "undefined" rather than DNE if the ratio gives zero in the denominator. Give any angle answers in radians (real numbers). #### Give exact, simplified answers: | Trigonometric Expression | Result | |--------------------------|--------| | \(\sin \frac{3\pi}{2}\) | | | \(\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\) | | | \(\cos 0\) | | | \(\tan \pi\) | | | \(\tan 90^\circ\) | | | \(\tan^{-1}(1)\) | | | \(\csc \frac{\pi}{4}\) | | | \(\cos^{-1}\left(-\frac{1}{2}\right)\) | | | \(\sec 90^\circ\) | | | \(\cos \frac{11\pi}{12}\) | | | \(\sin \frac{5\pi}{7}\) | | | \(\sin 0\) | | | \(\sin 240^\circ\) | | | \(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\) | | | \(\cos 45^\circ\) | | #### Instructions for Students: - Carefully draw a grid with matching row and column sizes. - Evaluate each trigonometric expression precisely. - Simplify your answers and write them in the respective boxes. - Remember to write angle measures in radians when applicable. - If any ratio results in division by zero, use the term "undefined." This exercise is designed to reinforce your understanding of both standard trigonometric values and inverse trigonometric functions.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning