determine the period of ( y = sin(3x) ).\na. ( \frac{2pi}{5} )\nb. ( 2pi )\nc. ( \frac{2pi}{6} )\nd. (…
determine the period of ( y = sin(3x) ).\na. ( \frac{2pi}{5} )\nb. ( 2pi )\nc. ( \frac{2pi}{6} )\nd. ( \frac{2pi}{3} )
Answer
Explanation:
Step1: Identify the general form of sine function
The general form is ( y = \sin(Bx) ), where ( B = 3 ).
Step2: Apply the period formula for sine function
The period is ( \frac{2\pi}{|B|} ). Substitute ( B = 3 ): ( \frac{2\pi}{3} ).
Answer:
d. ( \frac{2\pi}{3} )