Join thousands of students who trust us to help them ace their exams!
Multiple Choice
The Period for the function y=cos(bx) is T=20π. Determine the correct value of b.
A
b=101
B
b=10
C
b=20
D
b=201
0 Comments
Verified step by step guidance
1
The period of a cosine function is given by the formula T = \(\frac{2\pi}{b}\), where b is the coefficient of x in the argument of the cosine function.
We are given that the period T = 20\(\pi\). Substitute this value into the formula: 20\(\pi\) = \(\frac{2\pi}{b}\).
To isolate b, multiply both sides of the equation by b: b \(\cdot\) 20\(\pi\) = 2\(\pi\).
Next, divide both sides of the equation by 20\(\pi\) to solve for b: b = \(\frac{2\pi}{20\pi}\).
Simplify the fraction by canceling \(\pi\) and reducing: b = \(\frac{1}{10}\).