Tan^2 A/1+cot^2 A + cot^2 A/1+tan^2 A=sec^2 A cosec^2 A-3

Answers

Answer 1

Answer: $(tan^2x)/(1+cot^2x)+(cot^2x)/(1+tan^2x)=sec^2x\ cosec^2x-3\n\nL=(tan^2x(1+tan^2x)+cot^2x(1+cot^2x))/((1+cot^2x)(1+tan^2x))=(tan^2x+tan^4x+cot^2x+cot^4x)/(1+tan^2x+cot^2x+tanxcotx)\n\n=(tan^2x+cot^2x+tan^4x+cot^4x)/(1+tan^2x+cot^2x+1)=(tan^2x+2+cot^2x+tan^4x-2+cot^4x)/(tan^2x+cot^2x+2)$

$=((tanx+cotx)^2+(tan^2x-cot^2x)^2)/((tanx+cotx)^2)=((tanx+cotx)^2)/((tanx+cotx)^2)+((tan^2x-cot^2x)^2)/((tanx+cotx)^2)\n\n=1+((tanx-cotx)^2(tanx+cotx)^2)/((tanx+cotx)^2)=1+(tanx-cotx)^2\n\n=1+tan^2x-2tanx\ cotx+cot^2x=tan^2x+cot^2x+1-2\n\n=\left((sinx)/(cosx)\right)^2+\left((cosx)/(sinx)\right)^2-1=(sin^2x)/(cos^2x)+(cos^2x)/(sin^2x)-1=(sin^4x+cos^4x)/(sin^2x\ cos^2x)-1$

$=((sin^2x)^2+2sin^2x\ cos^2x+(cos^2x)^2-2sin^2x\ cos^2x)/(sin^2x\ cos^2x)-1\n\n=((sin^2x+cos^2x)^2-2sin^2x\ cos^2x)/(sin^2x\ cos^2x)-1=(1^2-2sin^2x\ cos^2x)/(sin^2x\ cos^2x)-1\n\n=(1)/(sin^2x\ cos^2x)-(2sin^2x\ cos^2x)/(sin^2x\ cos^2x)-1=(1)/(sin^2x)\cdot(1)/(cos^2x)-2-1\n\n=cosec^2x\cdot sec^2x-3=sec^2x\ cosec^2x-3=R$

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Rewrite 2 4/5 as an improper fraction
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Are these ratios equivalent?18 children : 12 adults
16 children : 20 adults
yes
no

Answers

Answer:

Step-by-step explanation:

If product of mean = product of extreme, then ratios are equivalent.

18 : 12 :: 16:20

Product of mean = 12 * 16 = 192

Product of extreme = 18 * 20 = 360

Not equivalent ratios

If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of circle B?

Answers

area A / area B = 2 / 1; => radius A / radius B = $√(2)$ ;
circumference of circle A / circumfereance of circle B = radius A / radius B = $√(2)$ => $√(2)$ ≈1.41;

Evaluate 2+3y when y=8

Answers

plug 8 into the equation for y and you get 2+24 or 26.

Plug 8 in for y 2+3(8) 2+24 26

Which fraction is not equivalent to 12/24

Answers

Fractions equal to 12/24:-

1/2 , 2/4, 3/6

Not equal:-

3/4 7/8, 11/24

In a group there are 2 girls and 4 boys. What fraction of the group is girls?2/5
216
3/6
4/6

Answers

Answer:

4/6

Step-by-step explanation:

Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?The solution to the system is (7, 9).
The system of equations does not have a solution.
The work must be incorrect because it is not possible to get this equation.
The system of equations has infinitely many solutions.

Answers

The system of equations does not have a solution.

For example, imagine these two equations y = x + 7 and y = x + 9

Now subsitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.

The thing which Vineet can conclude is:

B. The system of equations does not have a solution.

That happens because the equations represent parallel lines, which do not have a common pair of points.

Equation

This refers to the statement in mathematics which shows the equality of two expressions using the = sign

With this in mind, we can see that if we expand the system of equations, it does not have a solution

Therefore, the correct answer is option B

Read more about system of equations here:
brainly.com/question/13729904

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