AP Precalc Unit 3A Quiz

If you hate math, hit that follow button. LET'S GOOOOOO!!!

What is the point for 0° / 0 rad?

(1, 0)

What is the point for 30° / π/6?

(√3/2, 1/2)

What is the point for 45° / π/4?

(√2/2, √2/2)

What is the point for 60° / π/3?

(1/2, √3/2)

What is the point for 90° / π/2?

(0, 1)

What is sin(π/3)?

√3/2

What is cos(π/3)?

1/2

What is tan(π/3)?

√3

What is cot(0)?

undefined

What is sec(100π/3)?

−2

How do you find a reference angle in Quadrant II (radians)?

π − θ

How do you find a reference angle in Quadrant III (degrees)?

θ − 180°

How do you find a reference angle in Quadrant IV (radians)?

2π − θ

Fast way to reduce any huge angle to 0–360°?

angle mod 360°

Fast way to reduce any huge radian angle to 0–2π?

angle mod 2π

In which quadrants is tan negative?

Quadrants II and IV

In Quadrant II, which of sin/cos is negative?

cos

In Quadrant IV, which of sin/cos is negative?

sin

Convert 100π radians to degrees

18 000°

Convert 9° to radians

π/20

tan θ = −2/3 and sin θ > 0 → quadrant and signs?

Quadrant II → sin positive, cos negative

tan θ = −2/3 and sin θ > 0 → sin θ = ?

2/√13 (or 2√13/13)

tan θ = −2/3 and sin θ > 0 → cos θ = ?

−3/√13 (or −3√13/13)

tan θ = −2/3 and cos θ > 0 → sin θ = ?

−2/√13

Solve sin θ = 1/2, 0 ≤ θ < 2π

π/6, 5π/6

Solve cos θ = −√2/2, 0 ≤ θ < 2π

3π/4, 5π/4

Solve tan θ = 1, 0 ≤ θ < 2π

π/4, 5π/4

Point (−5, 12) → sin θ = ?

12/13

Point (−5, 12) → cos θ = ?

−5/13

Point (−5, 12) → tan θ = ?

−12/5

Point (−5, 12) → csc θ = ?

13/12

Point (−5, 12) → sec θ = ?

−13/5

Point (−5, 12) → cot θ = ?

−5/12

Linear velocity formula

v = rω

Earth’s equatorial radius ≈ ?

3960 miles (or whatever your problem uses)

Domain of sin x and cos x

All real numbers

Domain of tan x

All reals except π/2 + kπ

Why is tan undefined at odd multiples of π/2?

cos = 0

Is sin x even or odd?

odd

Is cos x even or odd?

even

Is tan x even or odd?

odd

Test: sin(−x) = ?

−sin x

Test: cos(−x) = ?

cos x

Test: tan(−x) = ?

−tan x