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Help with Trigonometry?
1. The letters r and θ represent polar coordinates. write a given equation using rectangular coordinates (x,y)
r=10 cos θ
2. transform the polar equation to an equation in rectangular coordinates.
r=8 what is the standard form of the equation in rectangular form?
What is the graph of this equation
A. circle with center (0,0), radius 64
B.circlewith center (0,0), radius 8
C. horizontal line
D vertical line
3.transform the polar equation to an equation in rectangular coordinates.
r cosθ=7 what is the standard form of the equation in rectangular form?
What is the graph of this equation?
A.circle with center (7,0)
B.circle with center (0,7)
C. vertical line
D. horizontal line
4.find the rectangular coordinates of the point given in polar coordinates
(4150 degrees)
1 Answer
- Kathleen KLv 78 years agoFavorite Answer
The relationships between (r,ϴ) and (x,y) are:
x²+y²=r², sinϴ = y/r, cosϴ = x/r, tanϴ = y/x
1. Convert r = 10cosϴ to (x,y) rectangular form:
r = 10(x/r)
r² = 10x
x² + y² = 10x
2. r=8 is a circle with center (0,0) and radius 8 --> x² + y² = 64 [B]
3. r cosθ=7
Since cosθ = x/r, then rcosθ = x. Therefore, this equation is simply x=7, which is a vertical line [C]
4. The question is not complete b/c a polar point needs an r and a θ. You just gave the θ, so we need a value of r.
