Answer:
Answer is b
Step-by-step explanation:
Just took the test and got it right
The trigonometric inequality that the graph is useful for in solving is;
B:cos(x) - sin(x) ≥ -1
From the graph below, we can see that;
At x = 0; y = 1
At x = 0.5π; y = -1
At x = π; y = -1
At x = 2π; y = 1
Let us look at the options;
A) Now, generally, we know that cosine decreases from y = 1 at x = 0.
We are given that cos(x) ≥ -1.
From the graph, there are cases where the curve is less than -1 and so the inequality doesn't hold.
B) cos(x) - sin(x) ≥ -1
We see that at x = 0; cos(0) = 1
Thus; sin (0) = 0
So; cos(x) - sin(x) gives;
1 - 0 = 1
This is equal to 1 .
The value of sin x is always gotten by subtracting the value of cos x from 1 and as such cos(x) - sin(x) can't be less than 1.
Thus this option is correct
Read more about inequalities at; https://brainly.com/question/14633613
