If sin(e) = 0.788, then what is the approximate value of csc(e %3D O 4.717 0.212 O 0.788 1269

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 81E
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### Trigonometry Problem Example

**Question 8:**

If \(\sin(\theta) = 0.788\), then what is the approximate value of \(\csc(\theta)\)?

- [ ] 4.717
- [ ] 0.212
- [ ] 0.788
- [ ] 1.269

**Explanation**:

To find the value of \(\csc(\theta)\), recall that \(\csc(\theta) = \frac{1}{\sin(\theta)}\).

Given:
\[
\sin(\theta) = 0.788
\]

Then:
\[
\csc(\theta) = \frac{1}{0.788} \approx 1.269
\]

Thus, the approximate value of \(\csc(\theta)\) is:

- [ ] 4.717
- [ ] 0.212
- [ ] 0.788
- [x] 1.269

For more details on related trigonometric topics, visit our [Trigonometry Section](#).
Transcribed Image Text:### Trigonometry Problem Example **Question 8:** If \(\sin(\theta) = 0.788\), then what is the approximate value of \(\csc(\theta)\)? - [ ] 4.717 - [ ] 0.212 - [ ] 0.788 - [ ] 1.269 **Explanation**: To find the value of \(\csc(\theta)\), recall that \(\csc(\theta) = \frac{1}{\sin(\theta)}\). Given: \[ \sin(\theta) = 0.788 \] Then: \[ \csc(\theta) = \frac{1}{0.788} \approx 1.269 \] Thus, the approximate value of \(\csc(\theta)\) is: - [ ] 4.717 - [ ] 0.212 - [ ] 0.788 - [x] 1.269 For more details on related trigonometric topics, visit our [Trigonometry Section](#).
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