Learn how to eliminate the parameter given sine and cosine of t

The video tutorial explains the use of Pythagorean and trigonometric identities to solve equations by eliminating the parameter T. It demonstrates how to replace cosine of T with expressions involving X and Y, leading to the transformation of equations into the standard form of a circle. The tutorial concludes by deriving the equation of a circle and identifying the radius.

What is the primary goal when using trigonometric identities in this context?

• To determine the sine of T

• To find the value of cosine

• To solve for T directly

• To eliminate the parameter T

What expression is used to replace cosine of T in the equation?

• X / 7 and Y / 7

• X^2 + Y^2

• 7X + 7Y

• T / 7

What is the equation derived after replacing cosine of T?

• X^2 + Y^2 = 49

• X^2/7 + Y^2/7 = 1

• X^2/49 + Y^2/49 = 1

• X^2 + Y^2 = 1

How is the equation X^2/49 + Y^2/49 = 1 transformed into the standard circle equation?

• By adding 49 to both sides

• By dividing both sides by 49

• By multiplying both sides by 49

• By subtracting 49 from both sides

What is the radius of the circle in the final equation?

• 49

• 1

• 7

• 14