Eliminate the parameter to obtain the equation of a circle

The video tutorial focuses on eliminating the variable T from an equation to express it solely in terms of X and Y. Initially, the instructor discusses the challenges of solving for T using cosine and inverse functions. The lesson then shifts to using trigonometric identities, specifically sine squared plus cosine squared equals one, to derive the equation of a circle. The tutorial concludes with a review of basic geometry concepts related to circles, including the center and radius.

What is the main goal discussed in the first section of the video?

• To find the value of T

• To express the equation in terms of X and Y only

• To eliminate X from the equation

• To solve for T using sine inverse

Which trigonometric identity is used to express cosine and sine in terms of X and Y?

• Sine squared minus cosine squared equals one

• Sine squared plus cosine squared equals one

• Tangent squared plus secant squared equals one

• Cosine squared minus sine squared equals one

How is the equation X^2/16 + Y^2/16 = 1 transformed into a circle equation?

• By adding 16 to both sides

• By multiplying both sides by 16

• By subtracting 16 from both sides

• By dividing both sides by 16

What is the center of the circle described by the equation X^2 + Y^2 = 16?

• (1, 1)

• (16, 16)

• (4, 4)

• (0, 0)

What is the radius of the circle with the equation X^2 + Y^2 = 16?

• 2

• 4

• 16

• 8