trigonometry Flashcards by emily olika | Brainscape

Q

30° in radians

A

π/6

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

45° in radians

A

π/4

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

60° in radians

A

π/3

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

90° in radians

A

π/2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

180° in radians

A

π

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

270° in radians

A

3π/2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

360° in radians

A

2π

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

arc length formula

[radians]

A

rθ

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

area of a sector formula

[radians]

A

½ r²θ

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

area of a segment formula

[radians]

A

½ r² (θ - sinθ)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin(π ⁄6)

A

½

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin(π ⁄3)

A

√3 ⁄2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin(π ⁄4)

A

√2⁄ 2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cos(π ⁄6)

A

√3 ⁄2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cos(π ⁄3)

A

½

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cos(π ⁄4)

A

√2 ⁄2

Q

tan (π ⁄6)

A

√3 ⁄3

Q

tan (π ⁄3)

A

√3

Q

tan (π ⁄4)

A

1

Q

what is sin θ small angle approximation

A

≈θ

Q

what is cosθ small angle approximation

A

≈ 1 - θ² ⁄2

Q

what is tanθ small angle approximation

A

≈ θ

Q

how to convert from degrees to radians

A

converting degrees to radians you multiply by π/ 180

Q

how to convert from radians to degrees

A

converting radians to degrees you multiply by

180/ π

Q

what is the identity involving sin²x and cos²x

A

sin²x + cos²x = 1

Q

in what way is cot x related to sinx and cos x

A

cot x is the inverse of tan x and the inverse of tan x is equal to cos x/ sin x

Q

what is the identity involving cot²x and cosec²x

A

1 + cot²x =cosec²x

Q

what is the inverse of sin x

A

1/ sin x = cosec x

Q

what is the inverse of cos x

A

1/ cos x = sec x

Q

what is the inverse of tan x

A

1/ tan x = cot x

Q

area of a sector [degrees]

A

(θ/360º) × πr²

Q

arc length [degrees]

A

2πr x (θ/360º)

Q

area of a segment [degrees]

A

πr² x (θ/360º)