Question

Identify the Polar Equation r=7cos(θ):

a) r=7sin(θ)
b) r=7cos(θ)
c) r=7sin(2θ)
d) r=7cos(2θ)

Answer 1

Answer: B) r=7cos(θ)

Step-by-step explanation:

The polar equation r=7cos(θ) represents a circle with radius 7 units and center at the origin.

Therefore, the correct answer is b) r=7cos(θ).

Answer 2

The polar equation presented by the student is 'r=7cos(θ)', and the correct option that matches this equation from the given set is option (b), 'r=7cos(θ)'. Polar coordinates use both the radius 'r' and the angle 'θ' to define a point's position.

Step-by-step explanation:

The student's question involves identifying a given polar equation, which is r=7cos(θ). The options provided in the question are:

• a) r=7sin(θ)
• b) r=7cos(θ)
• c) r=7sin(2θ)
• d) r=7cos(2θ)

By comparison with the provided options, it is clear that option (b), r=7cos(θ), matches the given polar equation exactly. Polar coordinates represent a point in a plane using a radius and an angle. The r represents the radius or distance from the origin, and θ represents the angle from the positive x-axis.