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2 years ago

What goes into 80 and 11

Mathematics

1 answer:

AnnyKZ [126]2 years ago

6 0

The only common factor of 80 and 11 is ' 1 '.

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Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago

Solve for 2-2n=3n+17

muminat

2 - 2n = 3n + 17 > -2n = 3n + 15 > -5n = 15 > n = -3

6 0

2 years ago

Read 2 more answers

Find the volume of each figure.show your work. Use 3.14 for pi. Round to the nearest hundredth

Solnce55 [7]

Pretty sure it’s 2 if not then sorry

6 0

2 years ago

Read 2 more answers

Simplify. left parenthesis negative 8 right parenthesis squared

DerKrebs [107]

Answer:

The solution of $(-8)^{2}$ is 64.

Step-by-step explanation:

In Mathematics when two negative numbers are multiplied the result is a positive number, i.e. $-a\times-b=ab$ .

The expression to be solved is: $(-8)^{2}$

Solve the above expression as follows:

$(-8)^{2}=(-8)\times (-8)=64$

Thus, the solution of $(-8)^{2}$ is 64.

6 0

2 years ago

!!!HELP!!!

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

you have to replace x by x-4 and add 3

(x-4-2)^2(x-4+5)+3=(x-6)^2(x+1)+3

7 0

2 years ago