MAT 1093 Lecture Notes - Trigonometry and Unit Circle

Flashcards covering trigonometry concepts, formulas, and the unit circle.

Distance Formula (Revolutions)

Distance equals Revolutions times 2πr.

Velocity (V)

V = RPM * Circumference

Circumference (C)

C = 2πr

Area of a Circle

Area = πr²

Area of a Sector

Area of Sector = (θ/360) * πr²

Sine (SOH)

sin(θ) = Opposite/Hypotenuse

Cosine (CAH)

cos(θ) = Adjacent/Hypotenuse

Tangent (TOA)

tan(θ) = Opposite/Adjacent

Pythagorean Theorem

x² + y² = r²

Pythagorean Identity

cos²(θ) + sin²(θ) = 1

Reference Angle

Angle measured from the terminal side to the x-axis.

Reference Angle in QII

θ_ref = 180° - θ

Reference Angle in QIII

θ_ref = θ- 180°

Reference Angle in QIV

θ_ref = 360° - θ

Coterminal Angles

Angles that share the same terminal side.