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: 19 + 3x
Step-by-step explanation:
Given : 4 + 3(5+x)
expanding , we have
4 + 15 + 3x
= 19 + 3x
Therefore :
4 + 3 ( 5 + x ) = 19 + 3x
Volume of sphere = 1766.25 cm^3
Step-by-step explanation:
The radius of sphere = 7.5 cm
Volume of sphere = ?
The formula used is:
Putting values:
So, Volume of sphere = 1766.25 cm^3
Keywords: Volume of sphere
Learn more about Volume of sphere at:
#learnwithBrainly
100*2.2=220
80*2=176
220+176=396
So the two trains will take 2.2 hours so that they are 396 miles apart.
