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Popular >

periodicity of y=sin(3x)

Solution

periodicity

y = sin (3 x)

Solution

\frac{2 π}{3}

Solution steps

Periodicity of

a \cdot sin (b x + c) + d = \frac{periodicity of sin ( x )}{∣ b ∣}

Periodicity of

sin (x)

is

2 π

= \frac{2 π}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

Popular Examples

inverse of f(x)= 1/(3x)inverse

f (x) = \frac{1}{3 x}

range of f(x)=(3x^2)/(x^2-9)range

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

domain of f(x)=x+9 domain

f (x) = x + 9

intercepts of y=-x^2-1 intercepts

y = - x^{2} - 1

periodicity of f(x)=6sin(1/3)x periodicity

f (x) = 6 sin (\frac{1}{3}) x

Frequently Asked Questions (FAQ)

What is the periodicity of y=sin(3x) ?
The periodicity of y=sin(3x) is (2pi)/3