Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Given:
Consider the given expression is:
To find:
The simplified form of the given expression.
Solution:
We have,
Using distributive property, it can be written as:
Therefore, the correct option is A.
I think it might be 11x-8
I'm really sorry if that's wrong
I added 40 and 120 to get 160. i devided 160 by the 6.25 she earned and got 25.6. then i rounded up to 26 hours which is the least amount of hours she could’ve worked.
Answer:
Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2
2x^2 + 3x - 20 = 0
(x + 4)(2x - 5) = 0
Solution:
x = -4
x = 5/2
