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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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Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

7 0
2 years ago
Ben has 1/2 of a loaf of bread if he and his 3 friends share the 1/2 loaf equally how much of the whole loaf does each person ge
Dvinal [7]
Given:
1/2 loaf of bread
3 friends

1/2 ÷ 3 ⇒ 1/2 * 1/3 = 1*1 / 2*3 = 1/6

In dividing fractions, get the reciprocal of the divisor and multiply it to the dividend
6 0
3 years ago
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Can someone plz help me with this hint it’s not D plz someone help me I’m not sure I understand this
Artyom0805 [142]

Answer:

The answer is C, or 3/5.

8 0
3 years ago
I need help with #11 - #14.
Aleonysh [2.5K]

Answer:

I can get you jump started a bit.

Step-by-step explanation:

So Each of those pairs of figures are Similar.

This means they have equal angle measures but different side lengths.

To find it, we have to make a <u>Proportion:</u>

<u>Example: #11</u>

<u />\frac{x+1}{3x+1} =\frac{8}{20}<u />

So let's solve the first one!

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Easy As Pie!

If you need more help, contact me! :)

Hope this Helps!

P.S. Stay Safe!

6 0
3 years ago
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Elana walked 12 miles. then she walked 1/4 that distance. how far did she walk all together. select all that apply.
Nezavi [6.7K]

Answer:

c., d., f

Step-by-step explanation:

"elana walked 12 miles"

That is 12.

"then she walked 1/4 that distance"

That is 1/4 of 12 miles, so it is 1/4 * 12

She walked altogether

12 + 1/4 * 12 = 12 + 3 = 15

She walked altogether 15 miles.

a.12+1/4  = 12.25 which is not 15

b.12×1/4  = 3 which is not 15

c.12+1/4×12  = 12 + 3 = 15 which is correct

d.12(1+ 1/4)  = 12(1.25) = 15 which is correct

e.12×3/4  = 9 which is not 15

f.12×5/4 = 15 which is correct

Answer: c., d., f

3 0
3 years ago
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