Period of cos(2x+7) is _____
(a) 2π (b) 2π+7 (c) π (d) 4π
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2 pie/2 = pie.......
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I'm assuming the person asking, wants to know the period of the given function. A period is basically, the smallest positive real number aasuch that f(x+a)=f(x)f(x+a)=f(x).
First of all, the period of cos(x)cos(x) is 2π2π(this is a known fact). Now you have to change the argument of the given function in a way, that will give you this last step : cos(2x+7+2π)cos(2x+7+2π)(which is equal to cos(2x+7)cos(2x+7)). So replace xxby x+πx+π. And you will get that, the period is ππ.
Here is a general rule, which can be realized easily, for cos(ax+b)cos(ax+b), the period will be, 2π/a2π/a, for real numbers aa & b.
Hence the answer is option (B)2π+7.
First of all, the period of cos(x)cos(x) is 2π2π(this is a known fact). Now you have to change the argument of the given function in a way, that will give you this last step : cos(2x+7+2π)cos(2x+7+2π)(which is equal to cos(2x+7)cos(2x+7)). So replace xxby x+πx+π. And you will get that, the period is ππ.
Here is a general rule, which can be realized easily, for cos(ax+b)cos(ax+b), the period will be, 2π/a2π/a, for real numbers aa & b.
Hence the answer is option (B)2π+7.
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