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olganol [36]
3 years ago
12

Sinx+sin3x=0 sin5x=-cos2x

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:

We have, sinx+sin3x+sin5x=0

∴(sinx+sin5x)+sin3x=0

∴2sin(

2

x+5x

)cos(

2

5x−x

)+sin3x=0

∴2sin3xcos2x+sin3x=0

∴sin3x(2cos2x+1)=0

Either sin3x=0 or 2cos2x+1=0

i.e. sin3x=0 or cos2x=−

2

1

Now, cos2x=−cos

3

π

∴cos2x=cos(π−

3

π

)

∴cos2x=cos

3

2π

∴sin3x=0 or cos2x=cos

3

2π

3x=nπ,n∈Z or 2x=2mπ±

3

2π

where m∈Z

Hence, x=

3

nπ

or x=mπ±

3

π

, where n,m∈Z.

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gregori [183]

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

y = 3x + 1

This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

3 0
3 years ago
Can somebody help me please with both of these questions??
klio [65]

Answer:

The slope is -2

Step-by-step explanation:

m =  

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x2 - x1

that's the formula

4 0
3 years ago
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Answer:

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To calculate the experimental probability of the next scoop that they sell being vanilla, we need to divide the amount of scoops of ice cream that were vanilla (65 scoops) by the total amount of scoops of ice cream sold (87 scoops):

Probability of next scoop being vanilla = 65 / 87 = 0.7471  = 74.71%

The experimental probability of the next scoop they sell being vanilla is 74.71%.

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Step-by-step explanation:

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Step-by-step explanation:

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