What Values of x Solve the Equation sin(kx) = 0?

In summary, to find the value of x in the equation sin(kx)=0, you can use the formula x=n(pi)/k where n is any integer.
  • #1
mrcheeses
31
0

Homework Statement


sin(kx)=0 What describes the value of x.


Homework Equations



N/A

The Attempt at a Solution



I remember doing this last year but I forgot how to.

kx=n(pi)
x= n(pi)/k
x=n(pi)/k + (pi)k/n where n is any integar

Is this right?
 
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  • #2
mrcheeses said:

Homework Statement


sin(kx)=0 What describes the value of x.


Homework Equations



N/A

The Attempt at a Solution



I remember doing this last year but I forgot how to.

kx=n(pi)
x= n(pi)/k
x=n(pi)/k + (pi)k/n where n is any integar

Is this right?

It was until you added that last term from out of nowhere.
 

1. What is a sine equation?

A sine equation is a mathematical expression that uses the sine function, which is a trigonometric function used to represent the ratio of the side opposite an angle to the hypotenuse in a right triangle.

2. How do you solve a sine equation?

To solve a sine equation, you can use the inverse sine function, also known as the arcsine function, to isolate the variable and solve for its value. You can also use trigonometric identities and properties to simplify the equation and solve for the variable.

3. What is the purpose of using trigonometry in solving equations?

Trigonometry is used to solve equations that involve angles and sides of triangles. It is especially helpful in solving problems related to distances, heights, and angles, which are common in fields such as engineering, physics, and astronomy.

4. What are some common strategies for solving sine equations?

Some common strategies for solving sine equations include using the unit circle, drawing a right triangle and labeling the sides with known values, using trigonometric identities and properties, and graphing the equation to find the solutions.

5. Can you provide an example of solving a sine equation?

Sure, for example, if we have the equation sin(x) = 1/2, we can use the inverse sine function to find the value of x. We know that sin(30°) = 1/2, so the solution is x = 30°. Alternatively, we can use the unit circle and find the angle where the y-coordinate is 1/2, which is also 30°.

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