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Resources

Find trigonometric ratios using the unit circle

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})

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}

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{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{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{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{\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=(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{3}}{2},-\frac{1}{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{5}}{4}, \frac{\sqrt{11}}{4}\right)

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If the radius of a circle is

\frac{2}{3} + \frac{1}{7}

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

\frac{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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