Resources

Resources

Find trigonometric ratios using the unit circle

C

CD=2

and the length of

DE=\frac{7}{9}\pi

. Find the area shaded below. Express your answer as a fraction times

\pi

45

-45

-90

pattern to find both missing side lengths of each right triangle:

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1

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2

Express the fractions

\frac{3}{4}

\frac{7}{16}

\frac{5}{8}

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\frac{24}{32}

\frac{14}{32}

\frac{24}{32}

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\frac{3}{4}

\frac{2}{4}

\frac{3}{4}

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\frac{12}{16}

\frac{7}{16}

\frac{10}{16}

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\frac{9}{16}

\frac{49}{16}

\frac{36}{16}

What is the center of the circle passing through

(-2, 1)

and tangent to the line

3x - 2y - 6 = 0

(4, 3)

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(3, -2)

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(\frac{41}{7},-\frac{2}{7})

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(-\frac{2}{7},\frac{41}{7})

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(\frac{1}{7},\frac{39}{7})

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If the terminal side of angle

t

goes through the point

\left(-\frac{5}{13},-\frac{12}{13}\right)

on the unit circle, then what is

\cos (t)

Round answers to the ne

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2

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rectonglur prism

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(B) Base Area Formula:

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Surface Area Calculation:

8

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4

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2

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Point B is the point of tangency for circle

C

. Solve for the radius,

r

, of the circle.

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dule\_item\_id =

33037105

New Chro Nevada Learnir Submitting an external tool Available Mar

18

12

10

11

59

pm Math assignment. Question Watch Video Show Examples Find the length of the third side. If necessary, round to the nearest tenth.

11

The tangent to the curve

y=8 x-x^{2}

(2,12)

x

-axis at the point

P

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a Find the coordinates of

P

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b Find the area of the shaded region.

0

5

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H

, the length of

I J=\frac{3}{2} \pi

\mathrm{m} \angle I H J=45^{\circ}

. Find the area shaded below. Express your answer as a fraction times

\pi

6

. Aviation Two radar stations

150 \mathrm{~km}

apart see a non identified plane disappear from their screens at the same time. The first station indicates that the position of the plane made an angle of

44^{\circ}

with the line that joins the two stations. The second station indicates that the plane made an angle of

56^{\circ}

with the same line. What is the distance between each of the stations and the point where the plane disappeared, to the nearest kilometer? Include a diagram.

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7

. Measure For triangle

\mathrm{FGH}, \mathrm{f}=12.6 \mathrm{~m}, \mathrm{~g}=8.5 \mathrm{~m}

\mathrm{h}=6.3 \mathrm{~m}

. Determine the measure of the smallest angle. Include a diagram.

O

shown below has a radius of

26

inches. Find, to the nearest tenth of

a

degree, the measure of the angle,

x

, that forms an arc whose length is

44

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\square^{\circ}

B

5

math problems related to our lessons Homework is given every Monday. Homework is d

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Monday: Identify the parts of the circle.

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Vednesday: Find the area of the trapezoid. se the formula:

A=1 / 2 \times h(b 1+b 2)

Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=(0,1)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(\frac{3}{5}, \frac{4}{5}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(-\frac{\sqrt{11}}{5}, \frac{\sqrt{14}}{5}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(\frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(-\frac{\sqrt{5}}{4}, \frac{\sqrt{11}}{4}\right)

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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,

0^{\circ} \leq \theta<360^{\circ}

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P=\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right)

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A point starts at the location

(2.5,0)

and moves counter-clockwise along a circular path with a radius of

2

5

units that is centered at the origin of an

x-y

plane. An angle with its vertex at the circle's center measures

\theta

radians and subtends the path the point travels. Let

x

represent the point's

x

coordinate. (Draw a diagram of this to make sure you understand the context!)

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a. Write an expression (in terms of

\theta

) to represent the point's distance to the right of the center of the circular path in radii.

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b. Write a formula that expresses

x

\theta

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x=

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c. If the angle has swept out

5

3

radians since the point started moving, what is the point's

x

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x=

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\left(\frac{\sqrt{3}}{2}-\frac{1}{2}\right)

is on the unit circle. What is the Put the matsere, in degrees, of the angle passing through this

360^{\circ}

15

A circle in the

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xy-plane has its center on the line

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x=3

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(4,5)

lies on the circle and the radius is

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\sqrt{2}

, which of the following could be the center of the circle?

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1

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(3,3)

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(3,4)

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(3,5)

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(3,7)

3

) If the radius of a circle is

2 / 3+1 / 7

. Find the circumference, area and elso find the area of

1 / 4^{\text {th }}

A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a rectangle. Which of the following solids could have resulted in that cross section?

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rectangular pyramid

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A circle in the

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xy-plane has its center on the line

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x=3

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(4,5)

lies on the circle and the radius is

\sqrt{2}

, which of the following could be the center of the circle?

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1

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(3,3)

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(3,4)

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(3,5)

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(3,7)

The terminal side of an angle

\theta

in standard position intersects the unit circle at

(\frac{84}{85}, \frac{13}{85})

\cos(\theta)

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Write your answer in simplified, rationalized form.

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