Leroy S.

Math Major with 3 Years of Tutoring Experience

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Pre-Calculus

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Question:

Given a triangle in the first quadrant with a side length of 3 on the x axis and the other side length of 7, what is the angle between the x axis and the hypotenuse?

Leroy S.

Answer:

Given the information in the problem, we can take the inverse tangent of (7/3) which can be done on a calculator.

Trigonometry

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Question:

What is sin^2x+cos^2 equal to?

Leroy S.

Answer:

Using trig properties, or using the idea of the unit circle, the given equation is simply equal to 1.

Calculus

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Question:

What is the derivative of the following function: f(x)=3x^2

Leroy S.

Answer:

Using the power rule, we multiply the coefficient 3 by the exponent,2 giving us 6. We keep the x as is but now we subtract 1 from the exponent leaving us with an exponent of 1. Therefore, our final answer is 6x^1 or simply, 6x.

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