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Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 130. X= Y= Answers for x is -16.069690242163 Answer for y is 19.151111077974

Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 130. X= Y= Answers for x is -16.069690242163 Answer for y is 19.151111077974

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer is given but I don’t know how they got the answer . Please write neatly !!
**Problem Statement:** Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 130°. X = Y = **Solution:** Answers for x is -16.069690242163 Answer for y is 19.151111077974 In this problem, you're asked to find the Cartesian coordinates for a point on a circle with a given radius and angle. This involves using trigonometric functions to determine the x and y positions on a plane. The circle is centered at the origin (0, 0) in a standard coordinate system. Formulas used: - \( x = r \cdot \cos(\theta) \) - \( y = r \cdot \sin(\theta) \) where \( r \) is the radius and \( \theta \) is the angle.
Transcribed Image Text:**Problem Statement:** Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 130°. X = Y = **Solution:** Answers for x is -16.069690242163 Answer for y is 19.151111077974 In this problem, you're asked to find the Cartesian coordinates for a point on a circle with a given radius and angle. This involves using trigonometric functions to determine the x and y positions on a plane. The circle is centered at the origin (0, 0) in a standard coordinate system. Formulas used: - \( x = r \cdot \cos(\theta) \) - \( y = r \cdot \sin(\theta) \) where \( r \) is the radius and \( \theta \) is the angle.
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