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3 years ago

If cot theta is undefined, then what is the value of tan theta

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

4 0

If a function is undefined, this usually means that the value is 1 / 0.

Since tan theta is the reciprocal of cot theta. Therefore:

cot theta = 1 / 0 = 1 / tan theta

Taking the right side:

1 / 0 = 1 / tan theta

Rearranging so that tan theta is in the numerator:

tan theta = 0

Crazy boy [7]3 years ago

4 0

Answer: The value of tanθ is 0.

Step-by-step explanation:

Since we have given that

$\cot \theta=\infty$

As we know that

Tangent and cotangent are complementary as well as reverse of each other.

So, first we find the value of θ for cotangent:

$\cot \theta=\infty\\\\\theta=\cot^{-1}(\infty)\\\\\theta=0^\circ$

So, the value of tanθ would be

$\tan 0^\circ=0$

Hence, the value of tanθ is 0.

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Write the numerical expression. 6 times the sum of 12 and 8. Write your answer with no spaces.

Murljashka [212]

Answer:

6(12+8)

Step-by-step explanation:

the word 'times' would indicate the multiplication of 2 numbers

the word 'sum' would indicate the addition of 2 numbers. in this case, 12 + 8 would be placed in parenthesis

hope this helps!! :)

7 0

3 years ago

Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably

USPshnik [31]

Answer:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given

n=297 represent the random sample of male taken

X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol

$\hat p=\frac{183}{297}=0.616$ estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

Decision

We have a right tailed test so then the p value would be:

$p_v =2*P(z>3.998)=0.0000639$

7 0

3 years ago

Darius lives in Ohio and pays 5.5% in sales tax. If he just bought a sweatshirt that cost $24, what was the total amount he paid

ollegr [7]

In this question, we are required to find the total amount he paid to buy the shirt.

It is given that sales tax is 5.5 % over the amount paid.

The cost price of the shirt = $ 24.

The total amount will be = Cost price + 5.5 % of Cost price

Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)

Total amount = $ 24 + (5.5 % × $ 24)

Total amount paid = $ 24 + $ 1.32 = $ 25.32

8 0

3 years ago

Read 2 more answers

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

malfutka [58]

Answer:

$P(t)=37\times (4)^{(t/9.1)}$

Explanation:

The number of emails is multiplied by 4 every 9.1 weeks.

Thus, since Tobias initially sent the chain letter to 37 friends, the number of letters will grow as per this geometric series:

Start: 37 letters

In 9.1 weeks: 37 × 4

In 2 × 9.1 weeks: 37 × (4)²

In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

$P(t)=37\times (4)^{(t/9.1)}$

3 0

3 years ago

I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!!!!

Dahasolnce [82]

as AB || DE then

angle BAE = angle AED

so angle AED = 70

as AD = AE then

angle AED = angle ADE = 70

now in a triangle

angle DAE + Angle ADE + angle AED = 180

angle DAE + 70 + 70 = 180

angle DAE = 180 - 140 = 40

4 0

3 years ago