All categories

3 years ago

Prove that cos^2A+sin^2A.cos2B=cos^2B+sin^2B.cos2A

Mathematics

1 answer:

stiv31 [10]3 years ago

4 0

Notice that both sides of the equation have a similar form. If we ignore angle functions we end up with,

$A+A\cdot B=B+B\cdot A$

That is true if condition $A=B$ is met.

Otherwise it is false.

Hope this helps.

r3t40

You might be interested in

it takes Pam 45 minutes to drive to work and 60 minutes to drive home from work.write the ratio of he time Pam spends driving ho

Sauron [17]

12:9, 12/9, and 12 to 9. The way I got 12 and 9 was by simplifying 60/45.

4 0

3 years ago

carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w

zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

$\frac{5}{\frac{2}{3}}=7.5$

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0

3 years ago

Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company curre

const2013 [10]

<span>Average profit from the sale of 1 piece of furniture = 3x + 1 Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1. Therefore, Average profit of total furniture = Average profit X Average total of furniture sold = (3x + 1) X (3x - 1) = 9x^2 - 1</span>

8 0

3 years ago

Calculate the distance between the two given point T(6,-2),U(-2,-12)

slava [35]

Use the distance formula: $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

(6, -2), (-2, -12)
$\sqrt{(-2 - 6)^2 + (-12 - -2)^2}$ ⇒ $\sqrt{(-8)^2 + (-10)^2}$
$\sqrt{64 + 100}$ ⇒ $\sqrt{164}$
$\sqrt{164}$ = 12.8

The distance between points T and U is 12.8 units.

3 0

3 years ago

Find the sum of 2x+1 and 5x

aliya0001 [1]

Hey!

This could be rewritten as:

2x + 1 + 5x

We can add like terms together:

7x + 1

5 0

3 years ago

Read 2 more answers

Prove that cos^2A+sin^2A.cos2B=cos^2B+sin^2B.cos2A​

Prove that cos^2A+sin^2A.cos2B=cos^2B+sin^2B.cos2A