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olga55 [171]
3 years ago
14

I need help on this math problem look at picture

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

I think its A

I'm not sure but that's my best answer... I'm sorry...=)

I hope this helps

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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
Hello could i please get some quick help can someone help solve 2x+3=10
ki77a [65]

Answer:

x= 3.5

Step-by-step explanation:

2x + 3 = 10       (-3)

2x = 7       (divide by 2 )

x = 3.5

8 0
3 years ago
The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. what greater
Dimas [21]
1.3 million bicycles hope i helped
7 0
4 years ago
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Use words to compare the size of the product to the size of the first factor
ruslelena [56]
Is this vocabulary? If so, I'll try to answer. The product is always greater than the factors.
4 0
3 years ago
The solutions it suppose to equal <br>W= -2/2, 0​
Dmitry [639]

Answerevulate (w,8 6)

Step-by-step explanation:

6 0
3 years ago
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