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2 years ago

Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5

Mathematics

1 answer:

seropon [69]2 years ago

4 0

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

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he price of a pair of shoes increases from $68 to $77. What is the percent increase to the nearest percent?

tekilochka [14]

Answer:

an increase of 12%

Step-by-step explanation:

68 divided by 77 is 0.88 approximately

100-88 is 12

Tip:

do this for increase and decrease in percentage question

divide small number by big number, and subtract the quotient from 100

8 0

2 years ago

Read 2 more answers

For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tail

bagirrra123 [75]

Answer:

Option B:

$H_0: \mu = 22.1$

$H_a: \mu \neq 22.1$

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

$H_0: \mu = 22.1$

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

$H_a: \mu \neq 22.1$

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

7 0

2 years ago

Simplify please help

aleksandr82 [10.1K]

Answer:

4√10xy/32y is the answer. (I think)

5 0

1 year ago

Logan measured a line to be 7.4 inches long. If the actual length of the line is 7.7 inches, then what was the percent error of

Tanzania [10]

Answer:

4.0541

Step-by-step explanation:

I don't know if this is correct but this is what I got.

You would take the error and divide it by the theoretical value and then multiply that by 100.

7.7 - 7.4 = 0.3

0.3 ÷ 7.4 = 0.04054054

0.04054054 x 100 = 4.05405405 (simplify) = 4.0541%

Hope I helped in any way

8 0

2 years ago

Complete the square to solve 4x^2 + 24x = 4

dalvyx [7]

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

x=+√10-3

Step-by-step explanation:

4 0

2 years ago