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Alex17521 [72]
3 years ago
5

Can someone please help me with this quiz or does anyone have the answer key it’s by Gina Wilson.

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

put a more clear pic

Step-by-step explanation:

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Verify the identitiy:
Advocard [28]

Answer:

\frac{sinx}{1-cos x}     =         cosecx  +  cot x

Step-by-step explanation:

To verify the identity:

sinx/1-cosx = cscx + cotx

we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

sinx/1-cosx

Multiply the numerator and denominator by 1 + cosx

That is;

\frac{sinx}{1-cos x}     =    \frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

sinx(1+cosx) = sinx + sinx cosx

(1-cosx)(1+cosx) = 1 - cos²x

Hence

\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}     =  \frac{sinx + sinx cosx}{1-cos^{2}x }

But 1- cos²x  = sin²x

Hence we will replace  1- cos²x  by  sin²x

   \frac{sinx}{1-cos x}    =       \frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}     =  \frac{sinx + sinx cosx}{1-cos^{2}x }   =  \frac{sinx+sinxcosx}{sin^{2}x }

                             

                                  =\frac{sinx}{sin^{2}x }   +   \frac{sinxcosx}{sin^{2}x }

                                   

                                   =\frac{1}{sinx}   +   \frac{cosx}{sinx}

             

                                   =cosecx  +  cot x

\frac{sinx}{1-cos x}     =         cosecx  +  cot x

Note that;

\frac{1}{sinx}  = cosecx                        

         

 \frac{cosx}{sinx}   =       cot x

                                     

6 0
3 years ago
Karlene is keeping track of her calcium intake for a nutrition challenge at school. So far, she
swat32
Idk uh uh uuu uuu uh did ui I’m
5 0
3 years ago
Add. −5/12+(−3/4) Enter your answer in the box as a fraction or mixed number in simplest form.
brilliants [131]
The answer is 1/2 cuz of simplyfing
5 0
2 years ago
Why do the hands on the clock form an angle?
Nostrana [21]

Answer:

hope it's help you ok have a good day

4 0
2 years ago
Read 2 more answers
Write the polynomial function with the given zeros.<br> 5. x= -1,-1, 6
Allushta [10]

Answer:

Step-by-step explanation:

There are many such polynomials, but the one with leading coefficient of 1 is

y = (x+1)(x-1)(x-6) = x^3 - 6x^2 - x + 6

Not sure what you want to do with the 5, If that is the y-intercept, then since

(1)(-1)(-6) = 6, we will need

y = 5/6 (x^3 - 6x^2 - x + 6)

5 0
3 years ago
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