0

Guest

Courses New

The period of the function f(x) = sin2πx+(sinπx/3)+(sinπx/5) is (A) 2(B) 6(C) 15(D) 30

The period of the function f(x) = sin2πx+(sinπx/3)+(sinπx/5) is (A) 2(B) 6(C) 15(D) 30

Grade:12

1 Answers

SARAVANAN GANESAN
32 Points
6 years ago
Answer:D. First of all, the observation to be done is that the period of sine curve is 2π. When any number is multiplied within the parenthesis of sin(x) then it`s period will become 2π/(that number). (To help you in understanding in a better way, let me show u an example: sin(2x) will have a period of 2π/2 = π. ). Now, coming back to the question, sin(2πx) will have a period of 1, sin(πx/3) will have a period of 6 and sin(πx/5) will have a period of 10. Now their is one more important theory To be known. When a function is written in terms of many different other functions of same or different periods, then the period of the given function will be L.C.M of all those periods. (For example: f(x) = sin(2x) + sin(x), then the period of f(x) will be L.C.M of π and 2π which is 2π.). So in this question the answer is L.C.M of 1, 6 and 10 which is 30.

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More