Now calculate the second part of the polar coordinate. What is the distance from the origin to coordinates ( 5, -5 ) to 2 significant digits? 90° 120° 60° 150° 30° 180°. 210° 330° 240° 300° 270° You have several options for calculating the distance. Since the X and Y coordinates are two sides of a triangle and the distance is the hypotenuse, you can use Pythagorean theory: A²+B²=C?. Or in this case, X2+Y²=D². Or, if you prefer using trigonometry, you know the angle from the last problem to be -45. You can use either sine or cosine to calculate the hypotenuse.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 7GP
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Now calculate the second part of the polar coordinate. What is the distance from the
origin to coordinates ( 5, -5 ) to 2 significant digits?
90°
120°
60°
150°
30°
180°-
0°
210°
330°
240°
300°
270°
You have several options for calculating the distance. Since the X and Y coordinates
are two sides of a triangle and the distance is the hypotenuse, you can use
Pythagorean theory: A²+B²=C?. Or in this case, X²+Y²=D?.
Or, if you prefer using trigonometry, you know the angle from the last problem to be
-45. You can use either sine or cosine to calculate the hypotenuse.
Transcribed Image Text:Now calculate the second part of the polar coordinate. What is the distance from the origin to coordinates ( 5, -5 ) to 2 significant digits? 90° 120° 60° 150° 30° 180°- 0° 210° 330° 240° 300° 270° You have several options for calculating the distance. Since the X and Y coordinates are two sides of a triangle and the distance is the hypotenuse, you can use Pythagorean theory: A²+B²=C?. Or in this case, X²+Y²=D?. Or, if you prefer using trigonometry, you know the angle from the last problem to be -45. You can use either sine or cosine to calculate the hypotenuse.
Expert Solution
Step 1

consider the given points,

0,0 and 5,-5

draw the points on the coordinates axis as follows,

Trigonometry homework question answer, step 1, image 1

the coordinates of form the right triangle ABC as shown in above figure.

steps

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