sinax+cosax and |sinx|+|cosx| are periodic with the same fundamental period, if a equals to

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MARKS Content Team · Accepted Answer

Correct answer: (D) 4. sinax+cosax=√2sinax+(π)/4 So, fundamental period =(2π)/a Let, T be the fundamental period of sinx+cosx So sin(x+T)+cos(x+T)= sinx+cosx. Squaring both sides, we get, 1+sin(2x+2T)=1+sin2x Therefore, the fundamental period of sinx+cosx is (π)/2 Hence, (2π)/a=(π)/2 ⇒a=4

$\sin a x + \cos a x$ and $| \sin x | + | \cos x |$ are periodic with the same fundamental period, if $a$ equals to

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