rakesh05
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About
I have been teaching in one of the best Institutes in India (Institute of Engineering and Technology, Lucknow (U.P.) for over six years with diligence and a sense of purpose. Teaching Mathematics is a passion for me, as I always wanted to develop the cognitive skills to deal with Mathematical problems. I have been endowed with excellent communication and presentation skills. I worked as a guest lecturer of Mathematics at the Institute of Engineering and Technology, Lucknow for the past six years, but now I am working as a lecturer of Mathematics, department of I.T. in Salalah College of Technology, Ministry of Manpower at Salalah in Sultanate of Oman.
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Answered a Question in Math
`sqrt(3)sinxcosx=0` `sqrt(3)/2 sinx(1/2)cosx=0` `sin(pi/3) sinxcos(pi/3)cosx=0` `cos(x+pi/3)=cos(2n pi+pi/2)` `x+pi/3=2n pi+pi/2` `x=2n pi+(pi/2pi/3)` `x=2n pi+pi/6` Ans. ` ` 
Answered a Question in Math
`sqrt(343x^13)` =`sqrt(7^3 x^13)` `=(7^2 7.x^12 x)^(1/2)` (by law of the exponent `(x^m)^n=x^(mn)` .) `=7x^6(7x)^(1/2)` `=7x^6 sqrt(7x)`... 
Answered a Question in Math
Given `sin^3xsin3x=sum_(m=0)^n c_m cosmx` (1) We have to find the value of n. Now `sin^3xsin3x=(1/2)sin^2x.2sinxsin3x` ... 
Answered a Question in Math
In discuusing the arithmetic series we talk about common difference not the common ratio. Clearly the terms 2,6,10,.... are terms of an arithmetic series with first term 2 and common difference... 
Answered a Question in Math
When a>0 and b>0 `a^(x+3)=b^1` `(x+3)loga=logb` `(x+3)=logb/loga` or, `x=3logb/loga` When a<0 the problem has no slution at all. when a=0 and b=0 , the problem has no slution....
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