The question is solve for cosx= 0.60 on the interval [0,2pi). The answer is to be posted in radians. I don't understand how to find the answer.
To solve for cos(x) = 0.60 on the interval [0, 2pi), you can use the inverse cosine function (also known as arccosine or cos^(-1)). Here's a step-by-step explanation of how to find the answer:
1. Start by writing down the equation cos(x) = 0.60.
2. Apply the inverse cosine function to both sides of the equation: arccos(cos(x)) = arccos(0.60).
3. Simplify: x = arccos(0.60).
4. Use a calculator or a trigonometric table to find the inverse cosine of 0.60. This will give you the radian measure of the angle.
5. The solution for x will be in radians. Make sure to check the interval [0, 2pi) to find the appropriate value of x within that range.
Note: In some calculators, the inverse cosine function is denoted as "acos" or "cos^(-1)." Just make sure to use the appropriate function on your calculator.
By following these steps, you will be able to find the solution to the equation cos(x) = 0.60 on the interval [0, 2pi) in radians.