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:
2 Gallons
Step-by-step explanation:
1 Gallon = 4 quarts
There are 8 quarts, and 8 divided by 4 is 2.
2 Gallons.
What statement is conclusive
A: if a b oddthan a b is odd
Answer:
Jack wants to give a treat to his 4 friends. Jack buys a big chocolate
filled cake. He divides the cake into 1/3 pieces. How much cake did each friend get?