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: 10.3 would be a mixed number
Step-by-step explanation:
Divide 12 into 46. You get 3 with a remainder of 10. 3 is the whole number of the mixed number, 10 is the numerator of the fraction, and 12 is the denominator. The fraction can be reduced to 5/6.
Answer:
5z+30
Step-by-step explanation:
5(z+6)
^ multiply each term in the parentheses by 5
5z+5x6
then,
5z+5x6 (multiply the numbers)
the answer will be 5z+30
Well, one advantage simply is that its a loan. If its a loan, you can pay little by little until its paid off. Not sure if this helps, but I hope it does.
After 6 years, the difference between owning the house and renting is $12,000.
<h3>What is the difference in owing and renting the house?</h3>
The first step is to determine the total cost of renting the house for six years.
Total cost of renting the house = rent per month x number of years x number of months in a year
1500 x 12 x 6 = $108,000
Difference = cost of owning - cost of renting
$120,000 - $108,000 = $12,000
To learn more about subtraction, please check: brainly.com/question/854115
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