unit circle Flashcards by b a

Q

what is the ratio of sine?

A

opposite/hypotenuse

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Q

what is the ratio of cosine?

A

adjacent/hypotenuse

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Q

what is the ratio of tangent?

A

opposite/adjacent

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Q

what is the ratio of cosecant?

A

hypotenuse/opposite

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Q

what is the ratio of secant?

A

hypotenuse/adjacent

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Q

what is the ratio of cotangent?

A

adjacent/opposite

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Q

sin(30) =

A

1/2

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Q

cos(30)

A

√3/2

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Q

tan(30)

A

√3/3

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Q

sin(45)

A

√2/2

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Q

cos(45)

A

√2/2

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Q

tan(45)

A

1

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Q

sin(60)

A

√3/2

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Q

cos(60)

A

1/2

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Q

tan(60)

A

√3

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Q

coterminal angle

A

an angle that (in standard position) falls at the same point as another/

Q

radian

A

a measure of a circle in which the arc length = the radius

Q

360 degrees =

A

2π radians

Q

0 degrees =

A

0 radians

Q

30 degrees =

A

π/6 radians

Q

45 degrees =

A

π/4 radians

Q

60 degrees =

A

π/3 radians

Q

90 degrees =

A

π/2 radians

Q

120 degrees =

A

2π/3 radians

Q

135 degrees =

A

3π/4 radians

Q

150 degrees =

A

5π/6 radians

Q

180 degrees =

A

π radians

Q

210 degrees =

A

7π/6 radians

Q

225 degrees =

A

5π/4 radians

Q

240 degrees =

A

4π/3 radians

Q

270 degrees =

A

3π/2 radians

Q

300 degrees =

A

5π/3 radians

Q

315 degrees =

A

7π/4 radians

Q

330 degrees =

A

11π/6 radians

Q

equation for arc length

A

s = rθ

Q

equation for sector area

A

A = 1/2θr²

Q

amount of radians in a circle

A

2π radians