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vodomira [7]
3 years ago
6

Tanx-cotx / sinxcosx =sec^2-csc^2x. Please show all steps. 

Mathematics
1 answer:
Katarina [22]3 years ago
3 0
\bf \cfrac{tan(x)-cot(x)}{sin(x)cos(x)}\implies \cfrac{\frac{sin(x)}{cos(x)}-\frac{cos(x)}{sin(x)}}{sin(x)cos(x)}\implies \cfrac{\frac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}}{\frac{sin(x)cos(x)}{1}}
\\\\\\
\cfrac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}\cdot \cfrac{1}{sin(x)cos(x)}\implies \cfrac{sin^2(x)-cos^2(x)}{cos^2(x)sin^2(x)}
\\\\\\
\textit{and now, we distribute the denominator}
\\\\\\
\cfrac{sin^2(x)}{cos^2(x)sin^2(x)}-\cfrac{cos^2(x)}{cos^2(x)sin^2(x)}\implies 
\cfrac{1}{cos^2(x)}-\cfrac{1}{sin^2(x)}

and surely you know what that is

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I will give crown to the best answe PLEASE HELP ME!!!!!
Goshia [24]
Comment
You can't get to quadrant 4 to quad 2 without 2 steps. The answers tell you that. The question is, did you use a reflection and a y or x translations or 2 reflections or 2 y or 2x translations.

Argument
You can take one point and see if it translate from beginning (purple triangle) to (yellow triangle) end. If two conditions will get you the right answer, then you have to try another point to break the tie.

We'll use Point C.
Choice A: If you reflect C over the y axis, you will go from (-5,1) to (5,1)
                 If you move C six units down, you will go from (5,1) to  (5,-5) which is where C' is.
                 That is pretty much the answer.

I could confirm it with another point which is the way your should do it.

Try Point A

Choice A:  Point A reflects across the y axis going from (-3,4) to (3,4)
                 Point A  translates down by moving from (3,4) to (3,-2) to become A'

Answer reflection and translation  in condition A

More Comment
I should do one more for you to show you that it is wrong.
You can try Choice B of the multiple Choice answers.

We will use Point C 
If we translate C across the x axis it will go from (-5,1) to (-5,-1)
The we are to translate 1 unit up. We will go from (-5,0) from (-5,-1) That's nowheres near where C' is. Choice B is wrong.

6 0
3 years ago
Read 2 more answers
(05.02 MC)
Elanso [62]

His work should have looked like this.

2x + y = 5
x − 2y = 10

y = 5 − 2x
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
5x − 10 = 10                  When he added in both sides, he subtracted 10 from 10,
5x = 20                      instead of adding 10 from 10 to make 20.
x = 4
2(4) + y = 5
8 + y = 5

y = -3

4 0
3 years ago
Graham's monthly bank statement showed the following deposits and withdrawals.
pychu [463]

Answer:

622.27

Step-by-step explanation:

- $87.45 + (- $24.76) + (-17.29) = $-129.5

$143.87 + $348.90 = $492.77

492.77 - (-129.5) = 622.27

8 0
3 years ago
HELP ME PLEASE!!!!!!!!!!!!!!!!
Pepsi [2]

The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

<h3>System of equations</h3>

Given the following system of equations expressed as:

f(x) = x² - 2x + 3 and f(x) = -2x + 12

Since they are both function of x, hence;

x² - 2x + 3 = -2x + 12

x² - 2x + 3 + 2x - 12 = 0

x² - 9 = 0

x² = 9

x = ±√9

x = ±3

If x = 3

f(x) = -2(3) + 12

f(x) = 6

If x = -3

f(x) = -2(-3) + 12

f(x) =18

Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

Learn more on system of equation here: brainly.com/question/14323743

#SPJ1

6 0
2 years ago
Guys help me out on this one plizzz
evablogger [386]

<span>The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures.  This term's value is</span>

<span>(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>


5 0
4 years ago
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