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 2pi and f = pi/4=4, write the function rule for g(θ). Explain your reasoning