Worksheets — Set 7

Trigonometry · Solving trigonometric equations

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. sin(30°) = ___ 2. cos(π/5) = ___ 3. Unit circle: angle 8π/4. Coordinates ( , ) ___

_See printable PDF for diagram._

Written practice

1. sin(75°) = ___ 2. cos(π/4) = ___ 3. Unit circle: angle 7π/5. Coordinates ( , ) ___ 4. Period of y = sin(3x): ___ 5. Amplitude of y = 10cos x: ___ 6. Solve sin x = √2/2 on [0, 2π). ___ 7. sin(60°) = ___ 8. Unit circle: angle 10π/4. Coordinates ( , ) ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Amplitude of y = 13cos x: ___ 2. Solve sin x = 1/2 on [0, 2π). ___ 3. sin(45°) = ___ 4. Unit circle: angle 13π/5. Coordinates ( , ) ___ 5. Amplitude of y = 16cos x: ___ 6. sin(30°) = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. sin(30°) = ___ 2. cos(π/3) = ___ 3. Unit circle: angle 24π/4. Coordinates ( , ) ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Label unit circle coordinates for key angles