- #1
GreenTea09
- 14
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Homework Statement
3x+cos 2x = c
c is an unknown constant.
how do i solve x in terms of c?
Solving for x in terms of c means finding an expression or equation that represents the value of x in relation to the variable c. In this case, we are looking for an expression that shows the value of x in relation to the given equation, 3x+cos 2x = c.
The first step in solving this equation is to isolate the variable term, in this case, 3x, on one side of the equation. This can be done by using algebraic operations such as addition, subtraction, multiplication, and division to move all other terms to the other side of the equation.
Yes, the variable c can have any value since there are no restrictions mentioned in the given equation. However, the variable c must be a real number, as both 3x and cos 2x are real numbers.
There can be multiple solutions for x in terms of c, depending on the value of c. The solution can be expressed as an equation, such as x = (c-cos 2x)/3, or as a simplified expression, such as x = c/3 - (cos 2x)/3. The exact solution will vary depending on the value of c.
To check if your solution is correct, you can substitute the value of x back into the original equation and see if it satisfies the equation. If the value of x makes the equation true, then your solution is correct. You can also use a graphing calculator to graph both sides of the equation and see if they intersect at the given value of x.