- #1
rollcast
- 408
- 0
Homework Statement
Make x the subject of the formula
sin(5x-24)=0.6
Homework Equations
sin(5x-24)=0.6
The Attempt at a Solution
sin(5x-24)=0.6
5x-24=sin^-1(0.6)
x=(sin^-1(0.6)+24)/5
Making x the subject of an equation means rearranging the equation so that x is isolated on one side of the equals sign. This allows us to solve for the value of x.
To make x the subject of an equation, you need to use algebraic operations such as addition, subtraction, multiplication, and division to move all other variables and constants to the other side of the equation, leaving x alone on one side.
Making x the subject of an equation is important because it allows us to solve for the value of x, which is often the unknown variable in an equation. This helps us to find solutions to problems and make predictions in various scientific fields.
Some common mistakes when making x the subject of an equation include forgetting to perform the same operation on both sides of the equation, not distributing negative signs correctly, and incorrectly simplifying fractions. It is important to double-check your work and simplify as much as possible to avoid these mistakes.
One tip for making x the subject of an equation more efficiently is to first identify which operations need to be performed on the equation. This will help you to plan your steps and avoid making unnecessary calculations. It is also helpful to use parentheses to clearly show the order of operations and avoid mistakes.