What is the Period of y = sin3x? We know that for a function sin bx, the period is 2π/|b| which implies the period of sin3x is **2π/3**.

Contents

- How do you find the period of Y sin3x?
- What is the period of the function sin3x?
- What is the period of sin 3x 4?
- What is the period of sin3x 2?
- What is the period of sin3x cos3x?
- What is sin3x formula?
- What is the period of sin2x?
- How do I find the period of a function?
- What is the period of sin5x?
- What is the period of cos2x?
- What will be the period of sin11x?
- Are constant functions periodic?

1 Answer. Nghi N. So, the period of sin 3x is **2π3**.

∣sin3x∣ sinx has period **2π**

The period of the function can be calculated using **2π|b| 2 π | b |** . Replace b b with 3 3 in the formula for period. The absolute value is the distance between a number and zero. The distance between 0 0 and 3 3 is 3 3 .

Thus sin^3(x/2) is periodic with periodicity of **4 pi/3**.

This implies, **2π** is a period of sin3x+cos3x.

The Sin3x formula in terms of sinx is given by, **sin3x = 3 sinx – 4 sin ^{3}x**. This sin3x formula can be written as sine three x (sin3x) is equal to the 3 sin x – 4 sin3x. Now, we will derive the sin3x trigonometric formula using the angle addition trigonometric identity.

So the period of sin2x is **(2π)/2 = π** which implies the value of sin2x repeats after every π radians.

The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is **2π/|B| radians**. Frequency is defined as the number of cycles completed in one second. If the period of a function is denoted by P and f be its frequency, then –f =1/ P.

the period of sin5x is **2π/5**.

So period is : **22π=π**

Period of sinx is **2π**.

**Constant functions are periodic functions with no fundamental period**.

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- https://www.mathway.com/popular-problems/Trigonometry/378373
- https://www.quora.com/How-do-I-find-the-period-of-function-f-x-sin-3-x-2
- https://www.toppr.com/ask/question/the-period-of-sin3xcos3x-is/
- https://examtrix.com/sin3x-formula-in-terms-of-sinx/
- https://www.cuemath.com/sin2x-formula/
- https://byjus.com/maths/period-of-a-function/
- https://brainly.in/question/11781164
- https://www.toppr.com/ask/question/1908817/
- https://www.vedantu.com/question-answer/how-do-you-find-the-period-of-sinx-class-11-maths-cbse-60095425d775123f97281d85
- https://byjus.com/question-answer/constant-functions-are-periodic-functions-with-no-fundamental-periodtrue-false-1/

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