The functions f(θ) and g(θ) are sine functions, where f(0) = g(0) = 0.The amplitude of f(θ) is twice the amplitude of g(θ). The period of f(θ) is one-half the period of g(θ). If g(θ) has a period of 2and f = 4, write the function rule for g(θ). Explain your reasoning.

Question

The functions f(θ) and g(θ) are sine functions, where f(0) = g(0) = 0.The amplitude of f(θ) is twice the amplitude of g(θ). The period of f(θ) is one-half the period of g(θ). If g(θ) has a period of 2and f  = 4, write the function rule for g(θ). Explain your reasoning.

anonymous · Answer

I just need to know how to get the amplitude of the f(θ) equation.

mertsj · Answer

What does f=4 mean?

anonymous · Answer

Sorry, it didn't copy over correctly. $$f(\frac{ \pi }{4 }) = 4$$