What is the period of f x -sin 2 x -A- 2 -B- - - 2C- -D- - - 2

The correct option is C π We know, if f(x) has a period T. Then a f(bx) + c will have period T/b. Here the question given is f(x) = sin (2x) If we compar ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

What is the p...

Question

What is the period of f(x) = sin (2x) ?

2π

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π/2

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-π/2

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Solution

The correct option is B
π

We know, if f(x) has a period T. Then a f(bx) + c will have period $\frac{T}{b}$ .

Here the question given is f(x) = sin (2x)

If we compare it we’ll find b = 2.

So the period of the function will be = period of $\frac{s i n x}{2} = π$

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What is the period of f(x) = sin (2x) ?

The correct option is B π We know, if f(x) has a period T. Then a f(bx) + c will have period Tb. Here the question given is f(x) = sin (2x) If we compare it we’ll find b = 2. So the period of the function will be = period of sin x2=π

The correct option is B
π

We know, if f(x) has a period T. Then a f(bx) + c will have period $\frac{T}{b}$ .

Here the question given is f(x) = sin (2x)

If we compare it we’ll find b = 2.

So the period of the function will be = period of $\frac{s i n x}{2} = π$