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vampirchik [111]
3 years ago
14

Who is correct though and why?

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

Correct

Step-by-step explanation:

i need something to work with im not understanding your question

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<img src="https://tex.z-dn.net/?f=sec%20%7B%7D%5E%7B2%7D%20a%20%5C%3A%20.%20%5C%3A%20cosec%20%7B%7D%5E%7B2%7D%20a%20%3D%20%20%7B
Sedaia [141]

Answer:

See below ~

Step-by-step explanation:

<u>Identities Needed</u>

  1. sec a = 1 / cos a
  2. cosec a = 1 / sin a
  3. cot a = 1 / tan a

<u />

<u>Proving</u>

  • (sec²a)(cosec²a) = tan²a + cot²a + 2

<u>Taking the LHS</u>

  • sec²a x cosec²a
  • 1/cos²a x 1/sin²a
  • 1/(sin²a)(cos²a) -(Equation 1)

<u>Taking the RHS</u>

  • tan²a + cot²a + 2
  • tan²a + cot²a + 2(tana)(cota)
  • (tana + cota)²
  • (sina/cosa + cosa/sina)²
  • (sin²a + cos²a / sinacosa)²
  • (1/sinacosa)²
  • 1/(sin²a)(cos²a)  -(Equation 2)

∴ Equation 1 = Equation 2

∴ <u>LHS = RHS</u>

Hence, proved.

4 0
2 years ago
Read 2 more answers
The length of a rectangle is one meter more than 4 times its width. Find the dimensions if the perimeter is 52 meters
vodka [1.7K]
l=4w+1\\&#10;2l+2w=52\\\\&#10;2(4w+1)+2w=52\\&#10;8w+2+2w=52\\&#10;10w=50\\&#10;w=5\\\\&#10;l=4\cdot5+1\\&#10;l=21

5 m and 21 m
4 0
3 years ago
There are 2.54 centimeters in an inch how many inches are in 51.78 centimeters round to the nearest tenths
erik [133]
2.54 cm in 1 inch......how many inches in 51.78 cm...

51.78 / 2.54 = 20.4 inches <==

or this way...
2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches
cross multiply
(2.54)(x) = 51.78)(1)
2.54x = 51.78
x = 51.78 / 2.54
x = 20.4 inches <==
3 0
4 years ago
A premature infant weighing 3lbs is ordered to 1 milligram per gram of a drug. How many milligrams should you administer to the
Alona [7]

Answer:

1360.78 mg

Step-by-step explanation:

3 pounds in grams is 1360.78 grams.

so, 1 mg per gram would mean the baby should recieve 1360.78 mg of the drug.

4 0
3 years ago
A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.
sladkih [1.3K]

Answer:

kinetic

Step-by-step explanation:mark brainliest plzzzzzzzzzz

3 0
3 years ago
Read 2 more answers
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