The graph below can be used to help solve which of the following trigonometric inequalities over the interval 0<=x<=2 pi radians?

The graph below can be used to help solve which of the following trigonometric inequalities over the interval 0ltxlt2 pi radians class=

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Answer:

The answer is B

Step-by-step explanation:

Just took the test and got it right

The graph represents the solution of trigonometric inequality that is 5sinx - 7.5≥ 6sinx - 7 option second is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the 5cosx - 7.5≥ 6cosx - 7

After simplifying, we get:

cosx ≤ 0.5

From the graph, we at x = 0, the value of a function is 0 but we know cosx at x = 0  is 1.

This inequality does not show the solution in the graph.

For the 5sinx - 7.5≥ 6sinx - 7

After simplifying, we get:

sinx ≤ - 0.5

We know the value of sinx at x = 0 is 0 and at x = π is also 0.

From the above inequality, the value of sinx is less than -0.5 which is clearly shown in the graph.

Thus, the graph represents the solution of trigonometric inequality that is 5sinx - 7.5≥ 6sinx - 7 option second is correct.

Learn more about the inequality here:

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