1+ V3i 6-5i (a) Write the trigonometric forms of the complex number. (Let 0 s0 < 27. Round your angles to three decimal places.)· 1 + V3i = %3D 6-5i = (b) Perform the indicated operation using the trigonometric forms. (Let 0se< 27. Round your angles to three decimal places.)
1+ V3i 6-5i (a) Write the trigonometric forms of the complex number. (Let 0 s0 < 27. Round your angles to three decimal places.)· 1 + V3i = %3D 6-5i = (b) Perform the indicated operation using the trigonometric forms. (Let 0se< 27. Round your angles to three decimal places.)
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°.
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Question
![### Problem Description
Consider the following expression:
\[
\frac{1 + \sqrt{3}i}{6 - 5i}
\]
#### Part (a)
Write the trigonometric forms of the complex numbers. (Let \(0 \leq \theta < 2\pi\). Round your angles to three decimal places.)
- \(1 + \sqrt{3}i =\) [Input Box]
- \(6 - 5i =\) [Input Box]
#### Part (b)
Perform the indicated operation using the trigonometric forms. (Let \(0 \leq \theta < 2\pi\). Round your angles to three decimal places.)
- [Input Box]
#### Part (c)
Perform the indicated operation using the standard forms, and check your result with that of part (b). (Round all numerical values to three decimal places.)
- [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fab864d-7419-4b8c-bc50-25971d273c3c%2Ff7ec6dee-dec8-4551-8642-33abc0609010%2Fxo8jkh8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
Consider the following expression:
\[
\frac{1 + \sqrt{3}i}{6 - 5i}
\]
#### Part (a)
Write the trigonometric forms of the complex numbers. (Let \(0 \leq \theta < 2\pi\). Round your angles to three decimal places.)
- \(1 + \sqrt{3}i =\) [Input Box]
- \(6 - 5i =\) [Input Box]
#### Part (b)
Perform the indicated operation using the trigonometric forms. (Let \(0 \leq \theta < 2\pi\). Round your angles to three decimal places.)
- [Input Box]
#### Part (c)
Perform the indicated operation using the standard forms, and check your result with that of part (b). (Round all numerical values to three decimal places.)
- [Input Box]
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