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a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c) explain how you could verify one. d) What is a common mistake other students may make while attempting to prove trigonometric identities?

a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c) explain how you could verify one. d) What is a common mistake other students may make while attempting to prove trigonometric identities?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c) explain how you could verify one. d) What is a common mistake other students may make while attempting to prove trigonometric identities?
Transcribed Image Text:a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c) explain how you could verify one. d) What is a common mistake other students may make while attempting to prove trigonometric identities?
Expert Solution
Step 1

Solution a:

Trigonometric Identity:

Actually, trigonometric identities are the equalities, which involves trigonometric functions and true for all values of variable given in equation.

Mostly trigonometric identities involve length of sides as well as angles.

It is true for right angle triangle.

 

Solution b:

Example of trigonometric identity is

sin2θ+cos2θ=1,   0≤θ≤90°

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