How can I find the period of

Question

2sin²x+5sinx+2

Answer 1

If you look at the expression 2sin²x + 5sinx + 2 you'll notice that we can factor it as (2sinx + 1)(sinx + 2)

Now, the graph of y = 2sinx + 1 has a period of 2π

Similarly, the graph of y = sinx + 2 has a period of 2π

Since the graph of y = (2sinx + 1)(sinx + 2) just multiplies the y - values from both graphs the period remains unchanged. and therefore, the period is still 2π.

Hope that helps.

Mr. K

Answer 2

The graph is odd but the period is approximately 6.3

But, using Newton's method to find the x zeros at the periods, the period is 6.28318.. which is 2*pi