Question
Asked Oct 30, 2019
85 views

The equation, with a restriction on x, is the terminal side the of an angle θ in standard position. 

-2x + y = 0, x ≥ 0

give the exact values of the six trigonometric functions of θ.

check_circle

Expert Answer

Step 1

Given the equation with a restriction on x, is the terminal side of an angle in standard position.

-2x+ y 0,x2 0
To Find: the exact values of the six trigonometric functions of 0
help_outline

Image Transcriptionclose

-2x+ y 0,x2 0 To Find: the exact values of the six trigonometric functions of 0

fullscreen
Step 2

We begin with comparing the given equ...

The equation of the terminal side of the angle 0 is in the form
ах + by 3D с
The slope of the equation is
b
Therefore, tan
b
The slope of the equation -2x + y = 0 is
1
_ 2
So, tan 0
1
х
Since x> 0 and tan 0 = =, the terminal side of the angle 0 lies in
quadrant I
So, x and y both are positive.
1 and y
2
Therefore, x
V12 +22 = V5
r Vx2 y2
help_outline

Image Transcriptionclose

The equation of the terminal side of the angle 0 is in the form ах + by 3D с The slope of the equation is b Therefore, tan b The slope of the equation -2x + y = 0 is 1 _ 2 So, tan 0 1 х Since x> 0 and tan 0 = =, the terminal side of the angle 0 lies in quadrant I So, x and y both are positive. 1 and y 2 Therefore, x V12 +22 = V5 r Vx2 y2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Trigonometry

Trigonometric Ratios