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

Answer 1

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