Question

How do you solve `1 + sin(x) = cos(x)`?

Answer 1

`x=0`

Explanation:

`1+sin(x)=cos(x) or cosx-sinx=1`. Squaring both sides we get `(cosx-sinx)^2=1 or cos^2x+sin^2x -2sinxcosx=1 or 1-sin2x=1 or sin2x=0=sin0;`We know `sin0=0:.2x=0 or x=0`[Ans]