We have to evaluate i35 i35 can be expressed in powers i35 = i32 . i2 . i i35 = (i4)8 . i2 . i We know that i2 = -1 i4 = (i2)2 = (-1)2= 1... View Article
We have to find the square root of 162 To find the square root of 162 we will factorise it first Here we have to find the prime factors of... View Article
Numbers can be expressed in fractions as well as in decimals and also in per cent form. First let us know the definitions of both. Decimal A... View Article
We have to find the square root of 2000 To find the square root of 2000 we will factorise it first Here we have to find the prime factors... View Article
We have to evaluate (x+4)^2 (x+4)2 can be simplified using the identity (a+b)2 (a+b)2= a2 + 2ab +b2 Here a=x and b=4 (x+4)2= x2 + 2 (x) (4) +... View Article
Numbers can be expressed in fractions as well as in decimals and also in per cent form. First let us know the definitions of both. Decimal A... View Article
Answer: sin2x can be expressed as (sin x)2 Let f(x) = (sin x)2 It can be written as f(u) = u2 x where u = sin x. f´(u) = 2u and u´= cos x so... View Article
We have to evaluate Tan (X + π/4) Tan (X + π/4) = Using tan of Sum of 2 angles = Tan (A+ B) = (Tan A + Tan B) / (1 - Tan A TanB) and Tan... View Article
We have to integrate ∫sin3(x)dx ∫sin3(x)dx=∫sin(x)(1−cos2(x))dx =∫sin(x)dx−∫sin(x)cos2(x)dx Let us consider the first integral We know that... View Article
We have to find out 3/4 of an hour We know that one hour = 60 minutes Now we will multiply 3/4 with 60 to find out 3/4 of an hour 3/4 X 60... View Article
Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime... View Article