Question

Find the periods of the following functions
i) 5sin4x​
ii)sin(5x+3)

Answer 1

SOLUTION

TO DETERMINE

The periods of the following functions

i) 5sin4x

ii)sin(5x+3)

CONCEPT TO BE IMPLEMENTED

The curve of the form asin(bx+c) has period

$\displaystyle \sf{ = \frac{2\pi}{b} }$

EVALUATION

i) 5sin4x

The period is

$\displaystyle \sf{ = \frac{2\pi}{4} }$

$\displaystyle \sf{ = \frac{\pi}{2} }$

ii)sin(5x+3)

The period is

$\displaystyle \sf{ = \frac{2\pi}{5} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. What is the amplitude of the function f(x) = -3cos(πx)?

https://brainly.in/question/26536007

2. Prove that div grad r^n = n(n+1) r^n-2

https://brainly.in/question/24594228