Learn how to eliminate the parameter with trig

The video tutorial explains how to solve for the parameter T in trigonometric equations, highlighting the challenges of using cosine inverse. It explores the relationships between cosine and sine, and how these can be used to derive the equation of a circle. The tutorial concludes by demonstrating how to eliminate denominators to express the circle's equation in standard form, identifying the radius as 6.

What is the main challenge when solving for T using the cosine function?

• Finding the value of Y

• Using cosine inverse

• Finding the value of X

• Multiplying by 6

If cosine of T is X/6, what is sine of T?

• Y/6

• 6/Y

• X/6

• 1/6

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

• cosine times sine equals one

• cosine squared minus sine squared equals zero

• cosine plus sine equals one

• cosine squared plus sine squared equals one

What is the standard form of the circle equation derived from the trigonometric identity?

• X^2 - Y^2 = 36

• X^2 + Y^2 = 1

• X^2 + Y^2 = 6

• X^2 + Y^2 = 36

What is the radius of the circle when the equation is X^2 + Y^2 = 36?

• 36

• 3

• 6

• 12