1. Find all the values of x ∈ {0,2π) that satisfy the equation (sen(x)-cos(x))²=1+cos(x)

Step-by-step explanation:

We are given the equation:

And we want to find all solutions for the equation within the interval [0, 2π).

First, we can expand. This yields:

From the Pythagorean Identity, we know that:

Therefore:

Simplify:

Subtract cos(x) from both sides*:

Factor:

Zero Product Property:

Solve for each case:

Use the unit circle. So, our solutions are:

*Note that we should not simply divide both sides by cos(x) to acquire -2sin(x) = 1. This is because we do not know what the value of x is, and so one or may values of x may result in cos(x) = 0, and we cannot divide by 0. Hence, we need to subtract and factor and utilize the Zero Product Property.

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half