Given value of sinx =0.6 what can be the value of cosx and Tan x?
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
Solve 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
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.
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?
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