Translate this phrase into an algebraic expression.
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If period of 
is one-half the period of 
and
<span> has a period of 2π, then 
and 
.
</span>
To find the period of sine function
we use the rule 
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then 
, because 
.
To find a we consider the condition
, from where 
.
If the amplitude of is twice the amplitude of , then has a product factor twice smaller than and while period of <span> </span> is 2π and g(0)=0, we can write 
.
<span>
</span>
To find the period of sine function
<span /><span />
f is sine function where f (0)=0, then c=0; with period
To find a we consider the condition
If the amplitude of