1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tpy6a [65]
2 years ago
15

(1 - cos ß)(1 + cos ß) =1/cosec^2(ß)

Mathematics
1 answer:
iVinArrow [24]2 years ago
5 0

Step-by-step explanation:

L.H.S=(1-cosB)(1+cosB)

=(1-cos^2B). {using (a+b) (a-b)=(a^2-b^2)in second step}

=sin^2B

=1/cosec^2B

Therefore,L.H.S=R.H.S proved

You might be interested in
Find the exact value of sin 45° in simplest form with a rational denominator.
Masteriza [31]

Answer:

the answer is 22 common value

7 0
3 years ago
Read 2 more answers
Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who
musickatia [10]

Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

5 0
3 years ago
A support beam to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal fl
daser333 [38]
1.6/sin(28)
The answer is B
5 0
3 years ago
Sulfur compounds cause "off-odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compoun
sladkih [1.3K]

Answer:

a) If we construct a stemplot for the data we have this:

Stem     Leaf

1       |     9

2      |     2 3 9

3      |     0 0 1 3 5

4      |     2

Notation: 1|9 means 19

b) 29.4-2.26\frac{6.75}{\sqrt{10}}=24.58    

29.4-2.26\frac{6.75}{\sqrt{10}}=34.22    

So on this case the 95% confidence interval would be given by (24.58;34.22)    

Step-by-step explanation:

For this case we have the following data:

30 30 42 35 22 33 31 29 19 23

Part a

If we construct a stemplot for the data we have this:

Stem     Leaf

1       |     9

2      |     2 3 9

3      |     0 0 1 3 5

4      |     2

Notation: 1|9 means 19

As we can see the distribution is a little assymetrical to the right since we have not to much values on the right tail. But we can approximate roughly the distribution symmetric and with no outliers.

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=29.4

The sample deviation calculated s=6.75

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_{\alpha/2}=2.26

Now we have everything in order to replace into formula (1):

29.4-2.26\frac{6.75}{\sqrt{10}}=24.58    

29.4-2.26\frac{6.75}{\sqrt{10}}=34.22    

So on this case the 95% confidence interval would be given by (24.58;34.22)    

8 0
3 years ago
Find the common ratio of the sequence. 3,9,27,81
aleksley [76]
To get the next term you multiply by 3.
The common ratio is 3.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find x and y. (4,3),(5,y); slope= 3
    11·1 answer
  • X + 16 = 11<br> What property is it
    8·1 answer
  • x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9
    8·2 answers
  • Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat
    14·1 answer
  • Divide. Write your answer in simplest form. 1/9 divided 5/4?
    8·2 answers
  • -10w + 12 = -9w + 13<br> What value of w makes the equation true?
    12·1 answer
  • You score 84 on the first test, 95 on the second test, and 87 on the third test.
    14·1 answer
  • The graph of f(x)=x^2 is shown. Compare the graph of f(x) with the graph of d(x)=x^2-26
    5·1 answer
  • 409.0113 x230.2190931
    14·1 answer
  • If f(x + 1) = x + 2 then f(x - 1) is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!