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3 years ago

If sec(theta) =25/24, find cot(theta) (Picture provided)

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

s344n2d4d5 [400]3 years ago

3 0

Answer:

The correct answer is option b

Cot θ = 24/7

Step-by-step explanation:

Sec θ = Hypotenuse/Adjacent side

Cot θ = Adjacent side/Opposite side

It is given that,

secθ = 25/24

Hypotenuse =25

Adjacent side = 24

<u>To find opposite side</u>

Opposite side of θ = √(25² - 24²) = √625 - 576 = 7

<u>To find cot θ </u>

Cot θ = Adjacent side/Opposite side = 24/7

Therefore the correct answer is option b

Cot θ = 24/7

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3 years ago

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Katyanochek1 [597]

Answer:

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Step-by-step explanation:

To find the real zeros you must match the function to zero and factor the expression.

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Now we take (x + 4) as a common factor

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In this case

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3 years ago

A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer usin

Setler79 [48]

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

Slope of the line = 1

Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

y = mx + c

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m is the slope

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5 = 1(18) + c

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