Radian measure

Question 1

How many degree is π radians?

Answer 1

180

Question 2

What is the inverse of sin(x)?

Answer 2

arcsin(x)

Question 3

What is the inverse of cos(x)?

Answer 3

arccos(x)

Question 4

What is the inverse of tan(x)?

Answer 4

arctan(x)

Question 5

What is the period of a graph?

Answer 5

The horizontal distance until the card repeats

Question 6

What is the amplitude of a graph?

Answer 6

The vertical distance between the central line and the extreme values

Question 7

What are the amplitude and period of the functions asin(bx) and acos(bx)?

Answer 7

Amplitude: a
Period: 2π / |b|

Question 8

What is the formula for the length of an arc?

Answer 8

length (l) = radius (r) x angle subtended at centre, measured in radians (θ)

Question 9

What is the formula for the area of a sector in a circle?

Answer 9

A = 1/2 r^2 θ
Only works in radians

Question 10

What is the formula for the length of a chord of a circle?

Answer 10

AB = r √(2(1-cosθ))

Question 11

What is the formula for the area of a chord in a circle?

Answer 11

1/2 r^2 (θ - sinθ)

Question 12

What are the 3 small angle approximations?

Answer 12

sinθ ≈ θ
cosθ ≈ 1 - 1/2 θ^2
tanθ ≈ θ