Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

789,635 users

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

Related questions

asked Apr 9, 2016 in PRECALCULUS by anonymous
asked Feb 27, 2016 in PRECALCULUS by anonymous
asked Mar 26, 2016 in PRECALCULUS by anonymous
asked Feb 18, 2016 in PRECALCULUS by anonymous
asked Apr 9, 2016 in PRECALCULUS by anonymous
asked Mar 26, 2016 in PRECALCULUS by anonymous
asked Mar 20, 2016 in PRECALCULUS by anonymous
asked Feb 27, 2016 in PRECALCULUS by anonymous
...