What is the periodicity of f(t)=-5sin(7t-1) ?

The periodicity of f(t)=-5sin(7t-1) is (2pi)/7

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periodicity of f(t)=-5sin(7t-1)

periodicity

f (t) = - 5 sin (7 t - 1)

\frac{2 π}{7}

Decimal

0.89759 \dots

Solution steps

Periodicity of

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

Periodicity of

sin (x)

2 π

= \frac{2 π}{∣ 7 ∣}

Simplify

= \frac{2 π}{7}

What is the periodicity of f(t)=-5sin(7t-1) ?
The periodicity of f(t)=-5sin(7t-1) is (2pi)/7