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Anvisha [2.4K]
1 year ago
7

Simplify and write the trig expression in terms of sin and cos

Mathematics
1 answer:
dsp731 year ago
6 0

We have:

cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}

We clear f(x):

f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}

we simply what we can:

f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)

Thus, the correct answer is;

f(x)=sin(x)

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What is 3,989.23655 rounded to the nearest one thousandth?
Xelga [282]
The 6 is in the thousandth place so you round with that being the last number
since we have a 55 after the 6, we round up
so we get
3,989.237
8 0
3 years ago
A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has
enot [183]

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

=\frac{8}{100}\times 10,000=800

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 =\frac{1}{100}\times 800=8

Also,  1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 =\frac{1}{100}\times 9200=92

1. Has condition Does not have condition totals  = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01

that is Probability equal to 0.01 or 1%.

7 0
3 years ago
Kiran paid $54.00 for 3 tickets to go to a corn maze. At the same rate, what is the cost of 5 tickets to the maze? *
Shtirlitz [24]

Answer:90

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve for x.<br><br> −5(x−4)=−30<br><br> Enter your answer in the box.
saveliy_v [14]
First divide both sides by - 5,

x - 4 = 6

Move the constant to the right side of the equation and change its sign (-4 => +4)

x = 6 + 4

Add the numbers,

x = 10

~~
I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
3 years ago
What is the length of the line?
Lelu [443]
6cm or (6,1)

If ur talking about vectors It’s (6,1)
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2 years ago
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