How to find the equation of a circle by eliminating the parameter

The video tutorial explores the use of parameters Theta and T in trigonometric equations, focusing on solving for T using cosine inverse. It discusses the Pythagorean identity and the interchangeability of variables in equations. The tutorial concludes by deriving the equation of a circle from trigonometric identities, emphasizing the geometric interpretation of these equations.

What is the challenge mentioned when trying to solve for T using the inverse cosine function?

• It leads to an undefined expression.

• It cannot be solved without a calculator.

• It produces a strange expression when plugged into the sine function.

• It results in a complex number.

Which identity is used to relate sine and cosine in the transcript?

• The Pythagorean Identity

• The Double Angle Identity

• The Reciprocal Identity

• The Sum and Difference Identity

What does the equation Y^2 + X^2 = 1 represent?

• A parabola

• An ellipse

• A hyperbola

• A circle

What is the radius of the circle described by the equation Y^2 + X^2 = 1?

• 0.5

• 1

• 2

• 3

Where is the center of the circle described by the equation Y^2 + X^2 = 1?

• At (1,1)

• At (0,0)

• At (-1,-1)

• At (2,2)