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Ratling [72]
4 years ago
9

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

<h3><u>{</u> <u>For sin(x) = 0</u></h3>

• 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}

<h3><u>{</u> <u>For</u><u> </u><u>2</u><u> </u><u>sin</u><u>(</u><u>x</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>=</u><u> </u><u>0</u> ,</h3>

• 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
3 0
3 years ago
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