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3 years ago

90 POINTS WILL GIVE BRAINLIEST for which value of theta is cot theta equal to cos theta

Mathematics

2 answers:

velikii [3]3 years ago

8 0

Answer:

Step-by-step explanation:

$cot \theta = cos \theta\\ \frac {cos \theta}{sin \theta} = cos \theta$

An easy solution is if $cos \theta = 0$ , or $\theta = \frac \pi 2$ , plus or minus any number of half circles.

Angelina_Jolie [31]3 years ago

3 0

Answer:

...so cos t = cot t can only happen when cos t is 0 or sin t is 1. (But sin t = 1 only happens when cos t = 0, so cos t = 0 is enough.)

arccos(0) is pi/2, plus or minus any multiple of pi.

Step-by-step explanation:

cotθ = cosθ

cosθ/sinθ = cosθ

sinθ = 1

θ = π/2

pi also = to 3.14 etc.

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A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that

e-lub [12.9K]

16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.

The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.

The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.

7 0

3 years ago

There are 318 fiction books in the class library. The number of nonfiction books is 47 less than the number of fiction books. Ho

grigory [225]

Answer:

589 books in total

Step-by-step explanation:

fiction books= 381

non-fiction= 381-47= 271

total amount of books(ficton books and non-fiction books together)= 589 books in total

6 0

4 years ago

Read 2 more answers

the density of a substance is 2.5 cm calculate the volume of the substance if its mass is 25.0 grams

sesenic [268]

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

v = 25/2.5 = 10

Thus, the volume is 10 cm³.

7 0

3 years ago

What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?

Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

$(x-h)^2 + (y-k)^2 = r^2$

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Given

$(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)$

Putting the values in the formula

$r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}$

Putting the values of h,k and r in general form of equation

$\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8$

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0

3 years ago

Which of the following is an equation of the line that passes through the point (−2, 3) and is perpendicular to the graph of the

Ludmilka [50]

The equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

Explanation:

The given equation is $y=3 x-2$

<u>Slope:</u>

Since, the equation of the line is perpendicular to the equation $y=3 x-2$ , then, the slope is given by

$m=-\frac{1}{3}$

Hence, the slope is $m=-\frac{1}{3}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-2,3) and the slope $m=-\frac{1}{3}$ , in the above formula, we get,

$y-3=-\frac{1}{3}(x+2)$

Simplifying, we get,

$y-3=-\frac{1}{3}x-\frac{2}{3}$

$y=-\frac{1}{3}x-\frac{2}{3}+3$

$y=-\frac{1}{3}+\frac{7}{3}$

Therefore, the equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

8 0

3 years ago