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MakcuM [25]
3 years ago
5

Tan(x+pi/2)= negative cot x

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

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Answer:

B.) (0,1)

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3 years ago
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djyliett [7]

Answer:

0.07

Step-by-step explanation:

The hundredths place is the place between the tenths and thousandths place. For example, the digit in the tenths place in 0.073 is 7.

To round to the nearest hundredth, we look to the digit right of the hundredth digit, 7. We notice that the digit in the thousandths place is 3. When rounding, if a number is 4 or less, we change that digit to a 0, along with the digits beyond it. If a number is 5 or more, we bump up the digit to the next number. Since 3 is less than 4, we change 0.073 to 0.07.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
Use the equation n= b-4 to find the value of n when b=9
Valentin [98]

Put 9 in for b

N=9-4

N=5

6 0
3 years ago
I need help with all of these ASAP thank you so much
Novosadov [1.4K]

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

7 0
3 years ago
In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they
Arte-miy333 [17]

Answer: 0.22

Step-by-step explanation:

We know that the best point estimate for the difference between two population mean is the difference between their sample means.

Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.

Let A denotes the population of upperclassmen and B denotes the population of underclassmen .

\overline{x}_A=0.12

\overline{x}_B=0.34

Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-

\overline{x}_B-\overline{x}_A=0.34-0.12=0.22

Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22

5 0
3 years ago
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