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Sunny_sXe [5.5K]
3 years ago
12

Verify the basic identity. What is the domain of the validity? cot x= cos x csc x

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0
Expand and simplify LHS - Apply identity sin^2x+cos^2x = 1 To verify: (cotx<span> - </span>cscx)(cosx+1) =-sinx LHS=(cosx/sinx - 1/sinx)(cosx<span>+1)</span>
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What is the least common multiple between 8 10 and 12
DochEvi [55]
The LCM is the lowest number that is a multiple of all three numbers. 
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
3 0
3 years ago
Can someone help me i keep getting different answer!!
spayn [35]

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

6 0
3 years ago
Determine the value of the variable that makes the equation true. 12-b=12.5
dusya [7]

Answer:

B = -.5

Step-by-step explanation:

If B is negative is cancels out the prexisting negative making it positive.

6 0
2 years ago
Mr Cole has 30 students in his class. He has twice as many girls than boys. What is the ratio of girla to boys?
Elis [28]

Answer:

12:1/2(3)

Step-by-step explanation: no problem homie

8 0
2 years ago
See image. I only have an hour. Thank you!
Readme [11.4K]

Step-by-step explanation:

{2.7}^{12.2}  = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95

8 0
3 years ago
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