Setting functions equal to each other to cancel

  • Thread starter Thread starter getty102
  • Start date Start date
  • Tags Tags
    Functions
Click For Summary

Homework Help Overview

The problem involves solving the equation sin(3x) = 3sin(x), which falls under the subject area of trigonometric equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss potential identities to express sin(3x) in terms of sin(x) and explore the implications of their attempts to manipulate the equation.

Discussion Status

Some participants have shared their attempts at rewriting the equation but have noted that their approaches did not yield the desired results. There is an ongoing exploration of trigonometric identities and their applications in this context.

Contextual Notes

Participants are considering the need to express all terms in the equation in terms of sin(x), and there is a hint regarding the use of identities related to cos(2x).

getty102
Messages
38
Reaction score
0

Homework Statement



sin(3x)=3sin(x)

Homework Equations





The Attempt at a Solution



How do you solve this for x?
 
Physics news on Phys.org
What identity can you replace sin(3x) with? (Hint: you want to write everything in terms of sinx)
 
Well I came up with;
(1+2cos(2x))sinx=3sinx

but that didn't work either
 
getty102 said:
Well I came up with;
(1+2cos(2x))sinx=3sinx

but that didn't work either


and you can replace cos(2x) by?
 

Similar threads

To find the range of a given ##\sin## function
  • · Replies 15 ·
Replies
15
Views
3K
Finding the domain of a composite function
  • · Replies 10 ·
Replies
10
Views
2K
How to identify the type of function?
  • · Replies 23 ·
Replies
23
Views
4K
Solve for x with a trigonometric function
  • · Replies 5 ·
Replies
5
Views
2K
Trigonometric Identity for Solving Sin Cubed Equations
  • · Replies 15 ·
Replies
15
Views
3K
Can a direction cosine squared be negative?
  • · Replies 17 ·
Replies
17
Views
4K
Solving a nested logarithmic equation
  • · Replies 2 ·
Replies
2
Views
2K
Intersection of a circle and a sine curve
  • · Replies 26 ·
Replies
26
Views
2K
Hi, I have a quick question about inverse functions.
  • · Replies 1 ·
Replies
1
Views
1K
Finding the Constant for Cancellation in Polynomial Factoring
  • · Replies 7 ·
Replies
7
Views
3K