Verify csc^4 - cot^4= 2cot^2 +1
Answers
(csc^2 + cot^2)(csc^2 - cot^2)
then, since cot^2 + 1 = csc^2, you can replace the csc^2 in the left parentheses with cot^2 + 1, and the cot^2 in the right parentheses with csc^2 - 1 (which equals cot^2)
then, youll end up with
(cot^2 + 1 - cot^2)(csc^2 + csc^2 - 1)
combine like terms, and the left parentheses becomes 1 (cot^2 - cot^2 = 0), and the right parentheses becomes 2csc^2 - 1.
1(2csc^2 - 1) = 2csc^2 - 1
Related Questions
Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi. a. C = 11π; A = 44π b. C = 22π; A = 44π c. C = 11π; A = 121π d. C = 22π; A = 121π
Andrea is shopping for items for her pet sitting business because the store is having a sale where everything in the store is 5% off. Andrea buys a cat carrier for $39.99 and a cat tower for $19.99. She has a coupon for an additional 15% off on the cat tower. Before tax, Andrea estimates that her total, after discounts, will be about $54. Determine if Andrea has estimated correctly.
The figure below is divided into 100 squares of equal sizeWhat percent of the figure is shaded?
If each dose is 25 mg and the duration of therapy is 7 days, what is the total amount of drug needed to complete the course of therapy?
Answers
= 240/48% or 5%
Answer: 5%
= 100%(27/150)
= 2,700/150% or 18%
Answer: 18% hope that helped
^-^
Answer:
5%
Step-by-step explanation:
1. We assume, that the number 48 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 48, so we can write it down as 100%=48.
4. We know, that x% equals 2.4 of the output value, so we can write it down as x%=2.4.
5. Now we have two simple equations:
1) 100%=48
2) x%=2.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=48/2.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 2.4 is what percent of 48
100%/x%=48/2.4
(100/x)*x=(48/2.4)*x - we multiply both sides of the equation by x
100=20*x - we divide both sides of the equation by (20) to get x
100/20=x
5=x
x=5
now we have:
2.4 is 5% of 48
use 3.14 for pi for your answer
r=1
Answers
Answer: 6.28 units
Step-by-step explanation:
The circumference of a circle can be found with the formula C = 2πr where r is the radius. Here, we are given the radius and a different value for π (pi).
Given:
C = 2πr
Substitute given values:
C = 2(3.14)(1)
Multiply:
C = 6.28 units
The circumference of the given circle is 6.28 units.
Answers
Answer: $65,000
Step-by-step explanation: Each box worth $5,000
Answers
The mass defect of oxygen-16 is 0.1286 amu.
What is mass defect?
The difference between the mass of the atom and the sum of the masses of its parts is called the mass defect (Δm).
To find the mass defect, we have to add nucleas, protons and electron masses.
Since, atomics mass= 15.9994 amu
Total mass of nucleons
= 8(mass of proton + mass of neutron)
=8(1.0073+1.0087)
= 16.128
So, the mass defect
=16.128-15.994
= 0.1286
Hence, the mass defect is 0.1286 amu.
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B. |-2| > 1
C. |-7| = -7
D. |12| > |-15|
Answers
B)
C)
D)
Answer: B
Answers
The new average will be 89.55%.
What is an average?
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is given that,
Average score after 8 tests = 91%.
Therefore, Total score of 8 tests = Average score*Number of tests
Total score of 8 tests = 91*8
Total score of 8 tests = 728
Now, Cory scored 78% in 9th test,
So, Total score of 9 tests = Total score of 8 tests + 78
Total score of 9 tests = 728 + 78
Total score of 9 tests = 806
Hence, Average score of 9 test = Total score of 9 tests/9
Average score of 9 test = 806/9
⇒ Average score of 9 test = 89.55%
Hence, the new average will be 89.55%.
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8 tests will be 8x91 = 728
Then add on his latest test result 728+78 = 806
Now divide by the number of tests (9) 806/9 = 89.55555555
89.555%