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The period of the function f(x)=asin(kx)+bcos(kx) is

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Solution: We have,

\ f(x)=asin(kx)+bcos(kx)\ \Rightarrow sqrta^2+b^2[a/sqrta^2+b^2sin(kx)+b/sqrta^2+b^2cos(kx)]\ \Rightarrow sqrta^2+b^2[cos heta imes sin(kx)+sin heta imes cos(kx)]

Where cos heta =a/sqrta^2+b^2=sqrta^2+b^2sin(kx+ heta )

Which is a periodic function of period 2pi /k

Posted by

Deependra Verma

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