Eliminate the parameter to obtain the equation of a circle

Eliminate the parameter to obtain the equation of a circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the equation X^2 + Y^2 = 16 represent?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the radius of the circle represented by the equation derived?

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