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2 years ago

Solve for x on the interval [0, 2pi] Sinx = cosx + 1

Mathematics

1 answer:

lisov135 [29]2 years ago

8 0

Answer:

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

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2 years ago

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Wewaii [24]

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7 0

1 year ago

A map has a scale of 1 centimeter = 40 kilometer. If the distance between Fort Worth and El Paso is 21.7 cm on a map , how many

ryzh [129]

Aloha!
1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.
To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
I hope this helps!
Adios!:)

5 0

3 years ago

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples?

lina2011 [118]

Answer:

Step-by-step explanation:

When a number of similar calculations are required, a spreadsheet can reduce the tedium.

1. The price is a constant $1.88 per pound, so is proportional to the weight.

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2. The price is not proportional to the number of toppings.

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2 years ago

Using =2L+2W, Find L when P is 50 and W is 10

mestny [16]

Answer:

L = 15

Step-by-step explanation:

P = 2L + 2W

you know that P = 50, W=10

So you have to replace those values on the equation

50 = 2L + 2*(10) --> Replace P and W

50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.

Remember that if you send a constant to the other side of the equal the sign will change to its opposite

50 - 20 = 2L --> Solve the constants

30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:

30/2 = L

L= 15

5 0

3 years ago