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September 1, 2014

September 1, 2014

Posted by **Brittany** on Friday, May 24, 2013 at 2:38pm.

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).

- Algebra 2 -
**Steve**, Friday, May 24, 2013 at 2:52pmg(θ) has a period of 2π means:

g(θ) = a sin(θ)

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).

means:

f(θ) = 2a sin(2θ)

f(π/4) = 2a sin(π/2) = 2a = 4, so a=2

g(θ) = 2sin(θ)

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