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Rzqust [24]
3 years ago
13

Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

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Sindrei [870]
(-5, 2)(-9,9)
D = √( (x2 - x1)^2 + (y2 - y1)^2 )
D = √( (-9+5)^2 + (9 - 2)^2 )
D =√( (-4)^2 + (7)^2 )
D = √( 16 + 49 )
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7 0
3 years ago
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0
2 years ago
Read 2 more answers
If 3 tons of flower bed mulch cost $480, what is the price per pound?
Goshia [24]
1 ton = 2,000 pounds 
3 tons = 6,000 pounds
$480/6,000 = 0.08 
per pound is $0.08
6 0
3 years ago
if you have 89 apples and you take 72 away and buy 14 more and take 12 away then buy 42 more and give them 16 more
Delicious77 [7]

Answer:

The correct answer is that there will be 45 remaining apples.

Step-by-step explanation:

So, you start off with 89 and then you take 72 away, that leaves you with 17 apples. Then, you buy 14 more which brings it up to 31. After that, you give 12 more away which brings your total down to 19. Next, you go out and buy 42 more, which adds up to  61 remaining apples. Finally, you give away 16 more, which brings you to a grand total of, 45 apples left.

Hope this helps!

Rate 5 star and give brainliest!

5 0
3 years ago
(25 POINTS) 10. Find the sum of the arithmetic sequence. 5, 7, 9, 11, ..., 23​
Taya2010 [7]

Answer:

Sum = 140

Step-by-step explanation:

We find all the terms, we know that every consecutive term, we add 2 until we reach 23:

Sum = 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Sum = 140

5 0
2 years ago
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