Questions
The period of the function f (x) = a sin kx + b cos kx is
a
2πk
b
2πk
c
πk
d
None of these
detailed solution
Correct option is B
We have, f (x) = a sin kx + b cos kx=a2+b2aa2+b2sinkx+ba2+b2coskx=a2+b2(cosθsinkx+sinθcoskx)where cosθ=aa2+b2=a2+b2sin(kx+θ)which is a periodic function of period 2π|k|.Talk to our academic expert!
Similar Questions
Which of the following functions is not periodic
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