How would you find the period of sin 2 θ ?

Question

How would you find the period of                     sin        2            θ      ?

klitternrms · Accepted Answer

We are aware of the solution:       π    .  . Let&#039;s see why.The  period of             sin              (        x        )             is       2    π   and the period of             sin              (        k        x        )             is thus                     2        π            k        .     That doesn&#039;t tell us the period of                     sin        2            x       until we apply one of the double angle formulas for cosine:            cos              (        2        x        )              =    1    -    2                  sin        2            x                          sin        2            x        =          1      2              (      1      -              cos                  (          2          x          )                    )      The period of             cos      2        x   is       π   by the rule, and the addition and multiplication by the constants don&#039;t change that.Generally speaking, the even powers of             sin      x       will have a period of       π    .   and the odd ones will have a period of       2    π  .

How would you find the period of sin^2theta?

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