Answer:
-2
Step-by-step explanation:
We want to evaluate;
We use the reciprocals of trigonometric ratios to obtain;
The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.
This implies that;
We use special trigonometric ratios to obtain;
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Explanation:
Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.
What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.
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Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.
Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)
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When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.
Check out the diagram below.
