4 sin(θ) + 4 cos(θ) = 4
multiply both sides by r
4r cos(θ) + 4 r sin(θ) = 4r
4x+4y = 4sqrt(x^2+y^2)
x+y = sqrt(x^2+y^2)
square both sides
x^2+y^2+2xy = x^2+y^2
2xy = 0
xy = 0
sin(θ) + cos(θ) = 1
x = r cos θ, y = r sin θ
y/r + x/r = 1
(x + y)/r = 1
x + y = r
x + y = √(x^2 + y^2 )
x^2 + y^2 + 2xy = x^2 + y^2
xy= 0
[sin(θ) + cos(θ)]^2 = 1^2
sin^2(θ) + cos^2(θ) + 2 sin(θ) cos(θ) = 1
2 sin(θ) cos(θ) = 0
sin(θ) cos(θ) = 0
y/r * x/r = 0
4sin(θ)+4cos(θ)=4
sin(θ)+cos(θ)=1
rsin(θ)+rcos(θ)=r
y+x = sqrt(x^2+y^2)
--->
...
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
4 sin(θ) + 4 cos(θ) = 4
multiply both sides by r
4r cos(θ) + 4 r sin(θ) = 4r
4x+4y = 4sqrt(x^2+y^2)
x+y = sqrt(x^2+y^2)
square both sides
x^2+y^2+2xy = x^2+y^2
2xy = 0
xy = 0
4 sin(θ) + 4 cos(θ) = 4
sin(θ) + cos(θ) = 1
x = r cos θ, y = r sin θ
y/r + x/r = 1
(x + y)/r = 1
x + y = r
x + y = √(x^2 + y^2 )
x^2 + y^2 + 2xy = x^2 + y^2
xy= 0
[sin(θ) + cos(θ)]^2 = 1^2
sin^2(θ) + cos^2(θ) + 2 sin(θ) cos(θ) = 1
2 sin(θ) cos(θ) = 0
sin(θ) cos(θ) = 0
y/r * x/r = 0
xy = 0
4sin(θ)+4cos(θ)=4
sin(θ)+cos(θ)=1
rsin(θ)+rcos(θ)=r
y+x = sqrt(x^2+y^2)
square both sides
--->
...