SUMMARY
The period of the function sin(2t) + 3cos(5t) is determined by analyzing the individual periods of the sine and cosine components. The period of sin(2t) is π, while the period of cos(5t) is 0.4π. The least common multiple of these two periods is 2π, which establishes the overall period of the combined function as 2π.
PREREQUISITES
- Understanding of trigonometric functions, specifically sine and cosine.
- Knowledge of Fourier Analysis concepts.
- Familiarity with calculating periods of periodic functions.
- Basic algebra skills for manipulating equations.
NEXT STEPS
- Study the properties of periodic functions in trigonometry.
- Learn about the Least Common Multiple (LCM) and its application in finding periods.
- Explore Fourier Series and their applications in signal processing.
- Investigate the effects of phase shifts on the periods of trigonometric functions.
USEFUL FOR
Students studying Fourier Analysis, mathematicians, and engineers working with periodic functions in circuits and signal processing.