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dem82 [27]
3 years ago
14

1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.

Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)

The transformation to rectangular coordinates is written as:

x = R*cos(θ)

y = R*sin(θ)

Here we are in the unit circle, so we have a radius equal to 1, so R = 1.

Then the exact coordinates of the point are:

(cos(θ), sin(θ))

2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.

Remember that:

tan(x) = sin(x)/cos(x)

So if sin(x) = 0, then:

tan(x) = sin(x)/cos(x) = 0/cos(x) = 0

So tan(x) is 0 in the points such that the sine function is zero.

These values are:

sin(0°) = 0

sin(180°) = 0

Then the two possible points where the tangent is zero are the ones drawn in the image below.

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These are the first sentences in the short story, “the gift of magi” by O. Henry: “one dollar ad eighty/seven cents. That was al
saveliy_v [14]
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1 cent

1) You need 2 pennies.
2) You need 7 pennies.
3) You need 9 dimes.
4) You need 2 quarters and 0 nickels.
5) You need 5 nickels.

Hope this helps =)
4 0
3 years ago
Read 2 more answers
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a h
Katen [24]

Answer:

C: y = 6 \sin (8(x-\frac{\pi}{2} ))

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

3 0
2 years ago
Read 2 more answers
Cual es el resultado de f(x)=−7x−1
Goryan [66]

The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)

<h3>What is the function of f(x) of a linear equation?</h3>

The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0

From the given information:

y = f(x) = -7x - 1

We can determine the:

  • Slope (m)
  • x-intercepts, and
  • y-intercepts.

y = -7x - 1

Slope (m) = -7

Set the values of y = 0 to determine the x-intercepts.

0 = -7x - 1

7x = - 1

x = -1/7

x-intercepts = (-1/7, 0)

Set the values of x = 0 to find the y-intercepts.

y = -7(0) - 1

y = - 1

y-intercepts = (-1, 0)

Learn more about the function of a linear equation here:

brainly.com/question/15602982

#SPJ1

7 0
2 years ago
What is the value for X?​
Luda [366]

Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.

6 0
3 years ago
HELP ME PLEASEEEEEEEEE
OLga [1]

Answer:

is it 56 units²? if not sorry

4 0
3 years ago
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