
Find the period of the function and also write the equation using the trigonometric equation.

Answer to Problem 50PPS
The period is
Explanation of Solution
Given:
It is given in the question that there is graph of a sine function given below:
Concept Used:
In this, use the concept of general equation of sine
Calculation: Let the equation be
First, calculate the midline by taking average,
Now, the amplitude, is the difference between midline and maximum value:
So,
Since, the graph takes
Now, it is known that the period is
Let’s find b,
Since, the function
In this case, one of the points on the midline is
This means that the phase shift is
From the above values put in the equation,
Conclusion:
The period is
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