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Arisa [49]
3 years ago
6

There is a photo attached

Mathematics
1 answer:
natulia [17]3 years ago
6 0

You can use the sum of angles identities, then rearrange to put the result in the form of tangents.

\displaystyle\frac{\sin{(x+y)}}{\sin{(x-y)}}=\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}\\\\=\frac{\left(\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}{\left(\frac{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}\\\\=\frac{\tan{(x)}+\tan{(y)}}{\tan{(x)}-\tan{(y)}}

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Help please, I'm stuck on this :/
nlexa [21]

Do you have a calculator? you can solve it by substituting x.

y=16x^2

0: y = 16(0)^2 = 16(0) = 0

(x = 0 , y = 0)

0.5: y = 16(0.5)^2 = 16(0.25) = 4

(x = 0.5 , y = 4)

1: y = 16(1)^2 = 16(1) = 16

(x = 1 , y = 16)

1.5: y = 16(1.5)^2 = 16(2.25) = 36

(x = 1.5 , y = 36)

2: y = 16(2)^2 = 16(4) = 64

(x = 2 , y = 64)

2.5: y = 16(2.5)^2 = 16(6.25) = 100

(x = 2.5 , y = 100)

3 : y = 16(3)^2 = 16(9) = 144

(x = 3 , y = 144)

4: y = 16(4)^2 = 16(16) = 256

(x = 4 , y = 256)

if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.

I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.

8 0
3 years ago
Which of the following are identities? Check all that apply.​
Hatshy [7]

Answer:

b. cos²3x - sin²3x = cos6x

if its wrong sorry

hope this helps you☺️☺️

5 0
3 years ago
Read 2 more answers
Round .1325 to nearest thousandths
m_a_m_a [10]
So,

If the number in the ten-thousandth's place is greater than or equal to 5, then round up.  If not, round down.

0.1325: Note the 5.  We round up.

0.1325 --> 0.133
4 0
3 years ago
Read 2 more answers
A sprinter runs 100 meters in 11.5 seconds. What is the runners average rate in meters per second?
iris [78.8K]

Answer:

8.69565217391 m per sec

8.7 (1dp)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given the box plot, will the mean or the median provide a better description of the center?
yuradex [85]

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left.  The data is skewed right.  The median would be a better estimate, because one or two numbers on the high end will cause the  numbers to be skewed to the right, and the mean to be high

4 0
3 years ago
Read 2 more answers
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