Question

if (x-a) (x-b) =1 and a-b+5=0, then find the value of (x-a)^3-1/(x-a)^3​

Answer 1

Given, sinx=cos

2

x

Thus sinx=1−sin

2

x

⇒sin

2

x+sinx=1 ....(1)

We need to find value of cos

2

x(1+cos

2

x)

⇒sinx(1+sinx)

⇒sinx+sin

2

x

From the equation (1), we have

sinx+sin

2

x=1