X=43/12 If you need work shown please tell me in the comments. Also please mark me as brainliest.
Answer: 96
Step-by-step explanation:
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
p = (1/r) - q
In order to find this, follow the order of operations to get the answer.
1/p+q = r ----> Multiply both sides by p+q
1 = r(p + q) -----> Divide by r
1/r = p + q -----> subtract q from both sides
(1/r) - q = p
