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2 years ago

What is the domain of the sine and cosine functions?

Mathematics

1 answer:

eimsori [14]2 years ago

8 0

Answer:

domain of the sine and cosine functions is all real numbers

Step-by-step explanation:

range of both the sine and cosine functions is [−1,1]

graph can go left and right to infinity

graph goes up and down between 1 and -1

graph looks like a wave or

like U letters next to each other

UUUU

sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.

mathlibretextsorg

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Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20

aleksandr82 [10.1K]

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

6 0

3 years ago

What is the average rate of change of the function from x = 0 to x = 2?.

irina1246 [14]

The average rate of change of the function from x = 0 to x = 2 is -2

From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2

$(x,y) = \{(0,10)\ (2,6)\}$

The average rate of change is calculated using:

$\Delta x = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$\Delta x = \frac{6-10}{2-0}$

Evaluate common terms

$\Delta x = \frac{-4}{2}$

Divide -4 by 2

$\Delta x = -2$

Hence, the average rate of change of the function from x = 0 to x = 2 is -2

Read more about rate of change at:

brainly.com/question/8728504

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3 years ago

Last week, there were 420 new subscribers to a Web site. This week, the number of new subscribers decreased by 5%. How many new

zlopas [31]

Answer:

x = 399 new subscribers

Step-by-step explanation:

Let 420 = 100%

x = 95%

420*95 = 100x

x = 420*95/100

x = 399 new subscribers

3 0

3 years ago

A number n plus 8 is greater than 11? What is the inequality and the solution?

fomenos

Answer:

n+8 > 11

subtract 8 from 11

n>3

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3 years ago

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-2(5x + 16)+ 12 = 50

ArbitrLikvidat [17]

X will equal -7 in this problem

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3 years ago

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