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GenaCL600 [577]
3 years ago
10

I don’t understand how to do this

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

The solution is x =0.

Step-by-step explanation:

The equation

\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2

can be rewritten as

2* sin(\dfrac{3\pi }{2} +2) =-2

and can be further simplified to

sin(\dfrac{3\pi }{2}+x ) =-1.

Now, taking the inverse sine of both sides we get:

sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)

\bold{(2).}\:  \dfrac{3\pi }{2} +2 =sin^{-1}(-1)

The value of the right side on the interval [0,2\pi) is

sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o) ,

which makes the equation (2)

\dfrac{3\pi }{2}+x  =\dfrac{3\pi}{2}

solving for x gives

\boxed{x = 0}

which is our solution.

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Step-by-step explanation:

I'll do one for you.

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This means that the numerator in the exponet form becomes the power under the radical in radical form and

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For example 5,

(5) {}^{ \frac{ - 3}{5} }

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or if you want to write it using positive exponents

\frac{1}{ \sqrt[5]{5 {}^{3} } }

I'll do one more for you

For example 6,

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4 0
3 years ago
Is the height of an equilateral triangle the same as the sides?
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No,
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7 0
3 years ago
What is 1/3n=4?Please help
34kurt
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5 0
3 years ago
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Find the midpoint of the line segment joining the points (-3,-2) and (-7,5)
Mumz [18]

Answer:

The midpoint is (-5,1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -3+-7)/2 = -10/2 = -5

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

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3 years ago
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luda_lava [24]

Answer:

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3 years ago
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