Amplitude and period worksheets Grade 11

How to do it

For y = A sin Bx or y = A cos Bx: the amplitude is |A| and the period is 2π ÷ B.

Example problems

1. $y = -\cos 3x\quad \to \quad$$\text{amplitude }1,\ \text{period }\dfrac{2\pi }{3}$Show answer
2. $y = 5\ \sin 2x\quad \to \quad$$\text{amplitude }5,\ \text{period }\pi$Show answer
3. $y = 4\ \cos 4x\quad \to \quad$$\text{amplitude }4,\ \text{period }\dfrac{\pi }{2}$Show answer
4. $y = -2\ \cos 4x\quad \to \quad$$\text{amplitude }2,\ \text{period }\dfrac{\pi }{2}$Show answer

Trigonometry

1. Right triangle trigonometry: sin, cos and tan
2. Special right triangles and exact trig values
3. Converting degrees and radians
4. The unit circle
5. Amplitude and period
6. The Pythagorean identity
7. Simplifying trig expressions with identities
8. Solving trigonometric equations
9. The law of cosines
10. The law of sines