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sesenic [268]
4 years ago
6

Prove this identity using the product-to-sum identity for sin... sin^2 x=(1-cos(2x))/(2)

Mathematics
1 answer:
Simora [160]4 years ago
4 0

Answer:

sin²x = (1 - cos2x)/2 ⇒ proved down

Step-by-step explanation:

∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)

(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)

∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x

∴ - cos2x + cos²x = -cos2x + (1 - sin²x)

∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides

∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x

∴ 1/2(1 - cos2x) = sin²x

∴ sin²x = (1 - cos2x)/2

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Three numbers have absolute values of 2,4 and 9. The product of all the numbers is positive.
Margaret [11]
The absolute value of a number is how far away it is from 0 on a number line.
Example) 2 is two numbers away from 0, but neg. 2 (-2) is also two numbers away from 0

So basically. A positive number has the absolute value of itself. (2= a value of 2) and negative numbers have the absolute value of the positive form of that number. (-9= a value of 9)

Numbers that have the absolute value of 2: 2 and -2
Numbers that have the absolute value of 4: 4 and -4
Numbers that have the absolute value of 9: 9 and -9

You are looking to add your numbers together to make a positive.

So the answer is the positive answers to the absolute values: 2,4,9

2+4+9=15

15 is a positive number.
8 0
3 years ago
Which of the following is the solution set of x2 + 8x + 12 = 0?<br> (-2.-6<br> 2.6
algol [13]

To solve this polynomial equation, we first factor the left side.

To factor x² + 8x + 12 = 0, look for factors of 12 that add to 8.

These factors are 6 and 2 so we have (x + 6)(x + 2) = 0.

So either x + 6 = 0 or x + 2 = 0 and solving for

x in each equation, our answer is {-6, -2}.

6 0
3 years ago
What is the sum of 2 2/3 and 1 5/6?
stellarik [79]
First make each fraction into an improper fraction

2 2/3 = 8/3
1 5/6 = 11/6

Next, make the fractions have same denominators. Note, that what you do to the denominator, you do to the numerator.

8/3(2/2) = 16/6

Add
16/6 + 11/6 = 27/6

27/6 = 4 3/6 = 4 1/2

4 1/2 is your simplified answer

hope this helps
8 0
3 years ago
What is the answer to this?
irina1246 [14]
R^2=(96/2)^2+14^2

r^2=2500

r=√2500

r=50
3 0
3 years ago
The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can
zlopas [31]

Answer:

  80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

  $2.00/5 = $0.40

The revenue per square meter for buses is ...

  $6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.

6 0
3 years ago
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