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3 years ago

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

Mathematics

1 answer:

seropon [69]3 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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Determining the Value of the Slope from a Table

Ostrovityanka [42]

Answer:

3 and 5

Step-by-step explanation:

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2 years ago

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Zarrin [17]

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2 years ago

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Which of the following equations is non-linear?

lakkis [162]

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Step-by-step explanation:

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A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.

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x + 12 = -8x + 10 - 2y

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x = 8x + 19 - 10y

The equation is a linear equation because the degree of the equation is 1.

2x + 6y = 14y - 19x^2 + 12

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2x + 13y + 14x - 7 = 16y - 3

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2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

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3 years ago

The two intervals (114.9, 115.7) and (114.6, 116.0) are confidence intervals (computed using the same sample data) for μ = true

kenny6666 [7]

Answer:

115.3 hertz

Step-by-step explanation:

For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.

For the first interval:

$M=\frac{114.9 + 115.7}{2} \\M=115.3\ hertz$

For the second interval:

$M=\frac{114.6 + 116.0}{2} \\M=115.3\ hertz$

4 0

3 years ago

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:

tan40 = 16/x

Solving for x

x =16/tan40

x= 19 ft

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago