Resources

Resources

Find trigonometric ratios using a Pythagorean or reciprocal identity

Convert the angle

\theta=100^{\circ}

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Convert the angle

\theta=\frac{3 \pi}{5}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=228^{\circ}

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Convert the angle

\theta=\frac{8 \pi}{9}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{9 \pi}{5}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{133 \pi}{72}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{14 \pi}{9}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{257 \pi}{360}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{29 \pi}{15}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{23 \pi}{20}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=\frac{5 \pi}{12}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Convert the angle

\theta=70^{\circ}

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Convert the angle

\theta=290^{\circ}

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Convert the angle

\theta=\frac{17 \pi}{18}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

A=6 s^{2}

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The formula gives the surface area

A

of a cube with side length

s

. What is the surface area of a cube with side length of

\frac{3}{2}

V=\frac{4}{3} \pi r^{3}

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The formula gives the volume

V

of a sphere with radius

r

. If the volume of a sphere with a radius of

3

k \pi

cubic centimeters, what is the value of

k

V=\pi r^{2} h

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The formula gives the volume

V

of a right circular cylinder with radius

r

h

. If the volume of a right circular cylinder with a radius of

4

feet and a height of

30

a \pi

cubic feet, what is the value of

a

0=(2 y-1)(8-y)

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y=u

y=d

be unique solutions to the given equation. What is the value of

u \cdot d

A circle has a circumference of

12 \pi

(\mathrm{ft})

x

, in this circle has a central angle of

45^{\circ}

. What is the length of

x

\newline

1

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\frac{3 \pi}{2} \mathrm{ft}

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3 \pi \mathrm{ft}

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270 \mathrm{ft}

\newline

540 \mathrm{ft}

Which of the following degree measures is equal to

5 \pi

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(The number of degrees of arc in a circle is

360

. The number of radians of arc in a circle is

2 \pi

\newline

1

\newline

144^{\circ}

\newline

900^{\circ}

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1,080^{\circ}

\newline

1,800^{\circ}

A B C

, the measure of

\angle A

90^{\circ}, A B=10

B C=16

D E F

is similar to triangle

A B C

, where vertices

D, E

F

correspond to vertices

A, B

C

, respectively, and each side of triangle

D E F

2

times the length of the corresponding side of triangle

A B C

. What is the value of

\sin F

Which of the following degree measures is equal to

4 \pi

\newline

(The number of degrees of arc in a circle is

360

. The number of radians of arc in a circle is

2 \pi

\newline

1

\newline

180^{\circ}

\newline

360^{\circ}

\newline

720^{\circ}

\newline

1,440^{\circ}