Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x
Using a system of equations, it is found that Charlie won $270.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount earned by Linda.
- Variable y: Amount earned by Charlie.
Linda won $10 less than three times as much as Charlie, hence:
x = 3y - 10
Linda won $800, hence the amount won by Charlie is found as follows:
800 = 3y - 10
3y = 810
y = 810/3
y = 270
More can be learned about a system of equations at brainly.com/question/24342899
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Step-by-step explanation:
