In the diagram, A is a point on the x-axis and B is a point on the y-axis such that (5, 3) lies on the straight line passing through A and B. B (5,3) (i) Given that OP is perpendicular to AB and ZBAO = 0, show that OP = 3 cos 0 + 5 sin 0. %3D

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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seeking for help on this qns again since i'm still confused by what the previous tutor commented in his solution here. hope to get help from a new tutor this time. 1.png is the qns while 2.png is the solution provided by the previous tutor but i do not quite get the part i mentioned 'Do not quite understand this'

Slope of line AB is m= -tand
pont on line AB: (5,3)
so equation of line AB will be given by
y-3 = m[x-5)
y-3 --tano (x-5)
(x -5)
%3D
sino
y-3 =
Coso
y coso-3
x sino +y coso – (3cos0+5sinB) =0
As we_know distauce of point (xs ye from
+C =0 is given by
ax, + by, +C\.
-3coso xsin B + 5sino
**
line ax +
x+by+C
Do not quite
understand this.
d
Transcribed Image Text:Slope of line AB is m= -tand pont on line AB: (5,3) so equation of line AB will be given by y-3 = m[x-5) y-3 --tano (x-5) (x -5) %3D sino y-3 = Coso y coso-3 x sino +y coso – (3cos0+5sinB) =0 As we_know distauce of point (xs ye from +C =0 is given by ax, + by, +C\. -3coso xsin B + 5sino ** line ax + x+by+C Do not quite understand this. d
In the diagram, A is a point on the x-axis and B is a point on the y-axis such that (5, 3) lies on the straight
line passing through A and B.
(5, 3)
A
(i) Given that OP is perpendicular to AB and ZBAO = 0, show that OP = 3 cos 0 + 5 sin 0.
Transcribed Image Text:In the diagram, A is a point on the x-axis and B is a point on the y-axis such that (5, 3) lies on the straight line passing through A and B. (5, 3) A (i) Given that OP is perpendicular to AB and ZBAO = 0, show that OP = 3 cos 0 + 5 sin 0.
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