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Sveta_85 [38]
3 years ago
6

If you change the sign of a point’s y

Mathematics
1 answer:
UNO [17]3 years ago
8 0
The point of the y-coordinate would drop down below the x-axis.
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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
3 years ago
Please help ASAP Due very soon
MissTica

Answer:

y = -3/4 + 4

Step-by-step explanation:

use rise over run to find slope

6 0
3 years ago
Tony's class needs more than $500 for the school dance.
Natali [406]

Answer:

yes hes correct.

Step-by-step explanation:

37x8=296. 296+200= 596. 596>500

6 0
3 years ago
Read 2 more answers
A baseball player was at bat 473 times during the regular season. If he made a hit 31.5% of the times he was at bat, how many hi
Sauron [17]
So, since the question is asking you what percentage 31.5% is of 473, you can multiply 31.5 by 473 and get <span>14899.5. But, you'll have to change this answer into a percentage. So, you can move the decimal point two places over, and end up with 148.995. Since the question says that you can round to the nearest whole number, you can go ahead and put down 149. Hope this helped.</span>
5 0
3 years ago
Evaluate 4(x-3)+5x-x to the power of 2 for x=2
svp [43]
4(2-3)+5(2)-2squared
4(-1)+10-4
-4+10-4
2
8 0
3 years ago
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