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
Answer: Ellipse
This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.
Answer:
6/90/45/30/18/9/2
Step-by-step explanation:
15: 3/5/15/1
45: 45/1/9/5/15/3/
90: 90/1/9/10/45/2/15/6/3/30/5/18
Combine like terms. 6y + 8y is 14y. 5z - 3z is 2z. so the answer is 14y + 2z.
