3rd 6-Weeks Test Review

Front

Identify the zeros of the polar equation: r=1-2sinθ

Back

Front

Solve the equation for 0 ≤ θ < 2π: 1 + tan²θ = 4tan²θ

Back

Front

Determine one cycle for the polar curve: r=5cos(2θ)

Back

Front

Identify the polar equation: r=1+sinθ

Back

This is a cardioid.

Front

Identify the center and lengths a and b for the ellipse: C: (0,0)

Back

C: (0,0), a=5, b=2.

Front

What is the definition of a cardioid in polar coordinates?

Back

A cardioid is a heart-shaped curve represented by the equation r = a + b sin(θ) or r = a + b cos(θ), where a and b are constants.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, sin(θ) = opposite/hypotenuse and cos(θ) = adjacent/hypotenuse.

Front

What is the formula for converting polar coordinates to Cartesian coordinates?

Back

The conversion is given by: x = r cos(θ), y = r sin(θ).

Front

What is the period of the function r = a cos(nθ)?

Back