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Svetach [21]
2 years ago
7

HELP!!! ASAP!!!! TRIG!!!

Mathematics
1 answer:
RSB [31]2 years ago
6 0

Answer:

Identity is true

Step-by-step explanation:

\frac{cos\theta+1}{tan^2\theta}=\frac{cos\theta}{sec\theta-1}

(cos\theta+1)(sec\theta-1)=(tan^2\theta)(cos\theta)

(cos\theta)(sec\theta)+(cos\theta)(-1)+(1)(sec\theta)+(1)(-1)=(\frac{sin^2\theta}{cos^2\theta})(cos\theta)

(cos\theta)(\frac{1}{cos\theta})-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}

1-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}

-cos\theta+sec\theta=\frac{sin^2\theta}{cos\theta}

sec\theta-cos\theta=\frac{sin^2\theta}{cos\theta}

\frac{1}{cos\theta}-cos\theta=\frac{sin^2\theta}{cos\theta}

\frac{1}{cos\theta}-\frac{cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

\frac{1-cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

\frac{sin^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

Therefore, the identity is true.

<u>Helpful tips:</u>

Pythagorean Identity: sin^2\theta+cos^2\theta=1\\cos^2\theta=1-sin^2\theta\\sin^2\theta=1-cos^2\theta

Quotient Identities: tan\theta=\frac{sin\theta}{cos\theta},sec\theta=\frac{1}{cos\theta}

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Answer:

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Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

4 0
3 years ago
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Divide f(x) by d(x), and write a summary statement in the form indicated.
lukranit [14]
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3 0
3 years ago
I really need help with this my deadline is very soon​
Harman [31]

Answer:

(3)\ y = -x

(5)\ y = -3x -2

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

m = -1

(x_1,y_1) =(4,-4)

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

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Expand

y = -x + 4 -4

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m = -3

(x_1,y_1) = (1,-5)

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y = m(x - x_1) + y_1

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8 0
2 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
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