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do know how to work this

0 votes

Suppose that the terminal point determined by t is the point

image
5
13
12
13
image

on the unit circle. Find the terminal point determined by each of the following.

(a)    
π t

(x, y) = 
image
image


(b)    
t

(x, y) = 
image
image


(c)    
π + t

(x, y) = 
image
image


(d)    
2π + t

(x, y) = 
image
image

 

asked Feb 24, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The terminal point is image.

Observe the terminal point.

Here image and image, hence image lies in Quadrant I.

(a)

Find the terminal point determined by image.

Since image lies in Quadrant I, image lies in Quadrant II.

image is a angle in Quadrant II, hence image.

The terminal point is image.

Step 2:

(b)

Find the terminal point determined by image.

image is reflection along image-axis.

Since image lies in Quadrant I, image lies in Quadrant IV.

image is a angle in Quadrant IV, hence image.

The terminal point is image.

Step 3:

(c)

Find the terminal point determined by image.

Since image lies in Quadrant I, image lies in Quadrant III.

image is a angle in Quadrant III, hence image.

The terminal point is image.

Step 4:

(d)

Find the terminal point determined by image.

Since image lies in Quadrant I, image lies in Quadrant I.

image is a angle in Quadrant I, hence image.

The terminal point is image.

Solution:

(a) The terminal point is image.

(b) The terminal point is image.

(c) The terminal point is image.

(d) The terminal point is image.

answered Feb 24, 2016 by Lucy Mentor

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