Sankar R.

Experienced online tutor for 7 years

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Trigonometry

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Question:

Given value of sinx =0.6 what can be the value of cosx and Tan x?

Sankar R.

Answer:

As per Pythagorean theorem sin^2(x)+cos^2(x) =1 Given sin x=0.6 therefore sin^2(x) = (0.6) ^2 =0.36 substituting the 0.36 in the equation we can have 0.36+cos^2(x) =1 Cos^2(x)= 1-0.36 Cos^2(x)= 0.64 Cos(x) = 0.8 Tanx= (Sinx)/Cosx) Tanx= 0.36/0.64 Tanx=9/16 Therefore ,the value of cosx =0.64 and Tanx =9/16

Pre-Algebra

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Question:

Solve 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Sankar R.

Answer:

We need to use the PEMDAS rule for order of operations. So as a first step we need to expand the parenthesis. we have 5(-3x - 2) distributing 5 inside the parenthesis we get -15x-10 Similar way -(x-3) would be -x+3 -4(4x + 5) =-16x-20 Therefore 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 => -15x-10-x+3 = -16x-20+13 => -16x-7 = -16x-7 => 0=0 Since this statement we arrived at, ( 0=0) is true ,we can conclude that all real numbers would be the solution of this equation.

Algebra

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Question:

Aaron is aged three times more than his son john. After 8 years, he would be two and a half times of johns's age. what is the current age of father and son?

Sankar R.

Answer:

We need to find the present age of John and let us assume it as "X" years. Given fathers present age (say Y years) is 3 times more than that of Johns age. Converting the sentences to equations we can say that Aaron present age Y=X + 3X=4X years. Given after 8 years, Aaron would be two and a half times of John's age So converting this equation into a sentence we can say (4x + 8) = (5/2)(x + 8) Multiplying both sides with 2 we get 2(4x+8)=5(x+8) Distributing 2 inside the parenthesis 8x+16 = 5x+40 Subtracting 5x and 16 both sides 8x-5x+16-16=5x -5x+40-16 3x=24 Therefore x= 8. and Aaron's age = 8x4 = 32years and John's age is 8 years

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