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4 years ago

ANSWER THIS QUESTION ASAP DONT SEND A FILE AT ALL. WHATS THE ANSWER??! HURYY

Mathematics

1 answer:

damaskus [11]4 years ago

8 0

Answer:

rotate 90 degrees

Step-by-step explanation:

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Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

• Solve the trignometric equation to find a particular solution,

$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

3 0

3 years ago

4 rational numbers between 4/9 and 7/11

Veseljchak [2.6K]

Answer:

239/495, 86/165, 277/495, and 296/495

6 0

3 years ago

List the factors to find the greatest common factor of 24 and 66

Nadya [2.5K]

The greatest common factor between these 2 numbers is 6

5 0

3 years ago

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The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraff

NemiM [27]

Answer:

Step-by-step explanation:

Your first step is to find the total number of animals, no matter what they are.

34 + 27 + 12 + 16 + 22 = 111 animals.

You could add all the numbers other than the 12 hippopotamuses together. If you did, you would get 99.

The answer is 99/111 = 0.892

Sometimes it is just easier to do the following. Find the the probability of getting a hippo and subtract that from 1.

12/111 = 0.108

And subtract this number from 1. One represents all of the possible animals.

1 - 0.108 = 0.892

Later on, when you get problems that are more complicated, the second way is the way to do it. It gives you lest grief.

7 0

4 years ago

Use right triangle DCB to find the trig values for angle D.

n200080 [17]

Sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12

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3 years ago

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