Cynthia N.

College student who have been tutoring for 4 years

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Pre-Calculus

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Question:

Solve the following: cosx/sin^2x

Cynthia N.

Answer:

First, we must we remember or acknowledge there are 5 basic trig identities that can required to solve ‘cosx/sin^2x’. Blantly, one will not at first see the trig identities apparent, but one must separate the following cosx/sin^2x into to which results in having the following: 1/sinx * cosx/sinx. As one may see, the sin2^x is separated into two identities. Two of the familiari basic trig identities is 1/sin x =cscx and cosx/sinx =cotx which are the solution to the identity. The answer results in being cscx+cotx as the identity. Precalculus and calculus may appear to be tricky the first time around but with a little understanding and practice,anyone can be math whiz!

Calculus

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Question:

Find the derivative of the following:d/dx [5x^2+9]

Cynthia N.

Answer:

In order to find the derivative of the following: one must understand the concepts/rules that are applicable to this problem, which is that an exponent must be multiplied by the the coefficient and the exponent must also be subtracted by 1. In this case,the first term “5x^2”, the exponent 2 is multiplied by 5 and equals 10 and the exponent 2 is subtracted by one which results is a “x”. Its result is “10x” and now we can focus on the “9” which according to the rules of a derivative the number nine is constant and the derivative of any constant is zero. Overall, the solution is ‘10x.’

Algebra

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Question:

Find x in the following equation: 24x-36=60

Cynthia N.

Answer:

As we can see in the following equation: 24x-36=60, the x is claustrophobic and needs space or in math terms 'help get x by itself'. In order to do that we must start by cancelling out that '-36' so it can give x more space by adding 36 like so '-36+36'=0. We dont have to worry about the number 60 because it is on the right side of the equation. Now our equation is "24x=96' but x is not satisfied because 24 is attached to x through multiplication and in order to cancel the number 24 we will have to multiply 24 on both sides like so to get x by itself "24x/24=96/24, which brings x by itself and a new identity, an actual number "x=4" , the solution. Algebra is as simple when you have an understanding of the concepts

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