Walkthrough please 13.In this practice we are reviewing Unit Circles. David and Jacob are now looking for angles.Given the following, Jacob and David now are told to find the angle the radius of the unit circleending at the given point makes with the positive horizontal axis. What is the smallest absolutevalue? Please show full work(,一登)

Answered: 13.In this practice we are reviewing…

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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Walkthrough please

13.In this practice we are reviewing Unit Circles. David and Jacob are now looking for angles.
Given the following, Jacob and David now are told to find the angle the radius of the unit circle
ending at the given point makes with the positive horizontal axis. What is the smallest absolute
value? Please show full work
(,一登)

Expert Solution

Step 1

Start from the origin, move a units to the right along the x axis and b units up along the y axis to obtain the point $(a, b)$ on the cartesian coordinate system.

For any right angled triangle, using the sine relation, it can be written that $\sin θ = \frac{p}{h}$ and using the cosine relation, it can be written that $\cos θ = \frac{b}{h}$ . Here, $p, b, h$ are the lengths of the perpendicular, base, height, respectively.