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zaharov [31]
3 years ago
14

Simplify the expression: cot x sin x - sin quantity pi divided by two minus x. + cos x

Mathematics
1 answer:
podryga [215]3 years ago
3 0
\cot x= \frac{\cos x}{\sin x}  \\ \sin ( \frac{ \pi }{2}-x)=\cos x \\  \\ \cot x \sin x-\sin( \frac{ \pi }{2}-x) +\cos x= \\  \frac{\cos x}{\sin x} \sin x- \cos x+ \cos x= \\ \cos x- \cos x+ \cos x = \\ \cos x  \\  \\ \ \cot x \sin x-\sin( \frac{ \pi }{2}-x) +\cos x=  \cos x
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-9 + 2 = 7

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0.66666667 as a fraction
Ierofanga [76]

Answer:

__________________________________________

    The correct answer is:   " \frac{2}{3} " .

__________________________________________

Note:  Let's assume that this given decimal value  is really:

"0.66666666666666666....."  ;

(non-terminating; but repeating the singing digit, "7" ; yet rounded to:

" 0.66666667 " ;  

then:  " 0.666... "    = \frac{666}{999}  ;

                             

                               =  (666 ÷ 111) / (999 ÷ 111)  ;

                               =  6/9 ;

                              = (6÷3)/(9÷3)  ;

                               =   2/3 ;

                             

                               =   " \frac{2}{3} "

 

                              →  which is our answer.

____________________________________________

 Or:   " 0.6666... "  =  666 ÷ 999 = ?  ;

                        using calculator :

                               =  0.66666667 ;  

        →  which is the "rounded off" number of "0.6666..." ;

                                                                — (infinitely repeating) ;

                  →   So 666 ÷ 999 =

                  →   "  \frac{666}{999} " ;

               

                               =  " \frac{2}{3} " ;  

                               →  Either use a "fraction calculator" ;

       or simplify as aforementioned.    

____________________________________________

Hope this answer is helpful to you!

       Best wishes to you in your academic pursuits

              — and within the "Brainly" community!

____________________________________________

7 0
3 years ago
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MatroZZZ [7]

The equation that represents the linear function is y =32x

<h3>What is a linear function?</h3>

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

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The slope is calculated as:

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The linear equation is then calculated as:

y =m(x -x_1) + y_1

So, we have:

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y =32x

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brainly.com/question/14323743

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