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____ [38]
3 years ago
5

Suppose that the terminal point determined by t is the point 12 13 , 5 13 on the unit circle. Find the terminal point determined

by each of the following. (a) π − t (x, y) = (b) −t (x, y) = (c) π + t (x, y) = (d) 2π + t (x, y)
Mathematics
1 answer:
Tom [10]3 years ago
5 0

Answer:

  (a)  (-12/13, 5/13)

  (b)  (12/13, -5/13)

  (c)  (-12/13, -5/13)

  (d)  (12/13, 5/13)

Step-by-step explanation:

(a) The terminal point is effectively reflected across the y-axis, so the sign of the x-coordinate changes. (-12/13, 5/13)

__

(b) The terminal point is effectively reflected across the x-axis, so the sign of the y-coordinate changes. (12/13, -5/13)

__

(c) The terminal point is effectively reflected across the origin, so the signs of both coordinates change. (-12/13, -5/13)

__

(d) The terminal point is mapped to itself, so its coordinates remain unchanged. (12/13, 5/13)

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The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done. 

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