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4 years ago

If sin Theta = 8/17 and Theta is in quadrant 2, then cot = _____. If necessary, use the slash mark ( / ) for a fraction bar.

Mathematics

2 answers:

Nataly_w [17]4 years ago

5 0

In the question it is given Sin theta= $\frac{8}{17}$

Sine theta is given to lie in second quadrant and the question is asking to find cot theta.

In second quadrant sine is positive while cot is negative.

Sine is the ratio of opposite and hypotenuse.

Sin theta = $\frac{opposite}{hypotenuse}$

Cot theta= $\frac{Adjacent }{opposite}$

For the given question opposite is 8 and hypotenuse is 17.

We can find adjacent side by using Pythagoras Theorem

$c^{2} =a^{2} +b^{2}$

c is hypotenuse and a and b are the two legs

Substituting the value of c and b we have:

$17^{2} =8^{2} +b^{2}$

289=64+ $b^{2}$

289-64= $b^{2}$

[ subtracting 64 both sides]

225= $b^{2}$

Taking root both sides

b=15

Cot theta=- $\frac{15}{8}$

galina1969 [7]4 years ago

3 0

Sin theta= 8/17
cos theta= -15/17
tan theta= -8/15
cot theta= -15/8

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Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

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3 years ago

How would you write this equation in terms of sin and cos as well as simplify it from there?

ziro4ka [17]

Try this option:
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STatiana [176]

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Harris can sew half of a pair of jeans per hour.

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4 years ago

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Solve the equation 8y-6=5y+12

Bumek [7]

8y - 6 = 5y + 12
- 5y    - 5y
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3 years ago

The ratio of men to women at a meeting is 7:6.If there are 28 men at the meeting;

yanalaym [24]

Answer:

a. 24 woman

b. 28 men and 24 women

Step-by-step explanation:

given: men to women = 7:6

find: number of women

solution: 28 / 7 = 4, 4 * 6 = 24 women

given: number of men

find: number of men and women

solution: 28 men and 24 women

<em>hope this helps....</em>

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3 years ago

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