Answer:
Refer to my picture. Reply me if you understood :)
Answer:
A
Step-by-step explanation:
We want to solve the equation:

For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

We can factor:

By the Zero Product Property:

Solve for each case:

Use the unit circle to solve:

Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
If you are given a pair of alternate interior angles that are congruent, then the two lines cut by the transversal are parallel. Below the two angles shown are congruent and they are alternate interior angles; therefore, we can say that a ll b.
Answer:
(p - 5)(p + 1)
Step-by-step explanation:
Given
p² - 4p - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4, then
p² - 4p - 5 = (p - 5)(p + 1) ← in factored form
The standard form of a trinomial is
ax² + bx + c ( a ≠ 0 )
p² - 4p - 5 ← is in standard form
with a = 1, b = - 4 and c = - 5
The communtative property chages the grouping