What is the period, in degrees, of the trigonometric function y = 7\sin(5x) - 2? — JAMB UTME

What is the period, in degrees, of the trigonometric function $y = 7\sin(5x) - 2$ ?

Answer: 72 degrees

The period of the trigonometric function is 72 degrees.

For any function of the form

y = A\sin(Bx) + D

, the period

T

in degrees is calculated using

T = \frac{360^\circ}{|B|}

. For the given equation

y = 7\sin(5x) - 2

, the value of

B

is 5. Substituting this into the formula gives

T = \frac{360^\circ}{5} = 72^\circ

Identify the coefficient

B

of the variable

x

in the given function

y = 7\sin(5x) - 2

Here,

A = 7

B = 5

, and

D = -2

The period of a sine function depends on the angular frequency parameter

B

multiplying the input variable

x

Apply the standard formula for finding the period

T

of a sine function in degrees:

T = \frac{360^\circ}{|B|}

T = \frac{360^\circ}{5} = 72^\circ

Dividing the standard full revolution of

360^\circ

by the multiplier

5

determines the angle needed for one full cycle.

Period of a Trigonometric Graph

Estimated Time:45s

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