PWhat is the direction of V?(-5, 9)ight © 2003-2023 International Academy of Science. All Rights Reserved.TM[?] degreesRound to the nearest hundredth.LGEnter

Answered: What is the direction of V? (-5, 9) 1>…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Related questions

Question

P
What is the direction of V?
(-5, 9)
ight © 2003-2023 International Academy of Science. All Rights Reserved.
TM
[?] degrees
Round to the nearest hundredth.
LG
Enter

Expert Solution

Step 1

$V e c t o r j o i n i n g t w o p o i n t s X (x_{1}, y_{1}) a n d Y (x_{2}, y_{2}) d i r e c t e d f r o m X t o Y i s g i v e n b y \vec{X Y} = <x_{2} - x_{1}, y_{2} - y_{1}>$

$D i r e c t i o n o f a n y v e c t o r \vec{a} = <a, b> i s c a l c u l a t e d a s θ = \tan^{- 1} (\frac{b}{a})$

$I f θ i s t h e a n g l e i n s e c o n d q u a d r a n t s u c h t h a t θ = \tan^{- 1} (- x) p r o v i d e d x > 0 t h e n θ i s c a l c u l a t e d u \sin g t h e f o r m u l a θ = 180 ° - \tan^{- 1} x$