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: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
Hey!
Weight of small box = 5 lb. x no. of small boxes total weight = 5*x
Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y
Total weight = 5x + 12y.
Since total weight carrying capacity of shelf is 80, thus the inequality becomes:
5x + 12y Less than or equal to 80.
(a) satisfies the inequality.
(b) satisfies the inequality.
Hope my answer helps!
Answer:
for 15 crayons box she can spend
Step-by-step explanation:
The computation of the number of crayons for which she can spend is shown below:
Given that
She can spend $30
And, the cost is 2 per box
So, for the number of crayons for which she can spend is
= $30 ÷ 2
= 15 crayons box
Hence, for 15 crayons box she can spend
The same would be relevant
