Applications of Trigonometry

What is the range of the function g(x) = cos(x)?

• (-∞, ∞)

• [-1, 1]

• [-1, 2]

• [-∞, ∞]

What is the range of the function g(t) = A*cos(ωt), where A represents the amplitude and ω represents the angular frequency of a physical wave?

• [-A, A]

• (-∞, ∞)

• [0, A]

• [-A, 0]

What is the range of the function f(t) = A*sin(kt), where A represents the amplitude and k represents the wave number of a physical wave?

• [0, A]

• (-∞, ∞)

• [-A, A]

• [-A, 0]

The height of a water wave is given by the equation h(t) = 10sin(2πt), where t represents time in seconds. What is the amplitude of the wave?

• 2π

• 10

• 20

• π

A sound wave has a frequency of 500 Hz. What is the period of the wave?

• 2 ms

• 0.002 s

• 0.5 s

• 2000 s

The pitch of a sound wave is primarily determined by its:

• Amplitude

• Wavelength

• Speed

• Frequency

The speed of sound in air is approximately:

• 340 m/s

• 760 m/s

• 1,000 m/s

• 3,000 m/s

Fourier series is a mathematical tool used to:

• Solve linear equations

• Approximate periodic functions

• Calculate derivatives

• Perform geometric constructions

In a Fourier series, the fundamental frequency is also known as Period.

• True

• False

The coefficients in a Fourier series represent:

• The frequency components of the periodic function

• The amplitude components of the periodic function

• The phase components of the periodic function

• The time components of the periodic function