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Mathematics

1 answer:

kramer4 years ago

8 0

Answer:

what do we have to do

Step-by-step explanation:

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Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Alisiya [41]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

3 0

3 years ago

Which ratios form a proportion?

LekaFEV [45]

I would say D. 10/16, 5/8
Hope This helps :)

4 0

3 years ago

What is the mean of this data: 23, 37, 11, 58, 13, 45

nata0808 [166]

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

8 0

3 years ago

Read 2 more answers

What is 4,015 rounded to the nearest ten?

umka21 [38]

Answer:

The answer is 4006

Step-by-step explanation:

You get this answer by looking at the ones and it is greater than 5

6 0

3 years ago

The area of the parallelogram is 96 square miles. Find its base and height.

MakcuM [25]

You can't. There are an infinite number of different parallelograms,
with different dimensions, that all have area of 96 square miles.

Knowing the area doesn't tell you the dimensions.

Here are a few parallelograms with areas of 96 square miles:

-- square, every side 4√6 miles long

-- rectangle, 12 miles long, 8 miles wide

-- parallelogram, base=32 miles, height=3 miles

There are an infinite number of others.

8 0

3 years ago