1. Prove sin(sin^2(x))/(1- cos(x))= 1
2. Solve 2 tan(x)+ (√12) = 0
3. 2cos(^2x) + cos(x)= 1 Write the general solutions.
1. If the first identity is really $\displaystyle \frac{sin(sin^2(x))}{1-cos(x)}$ then I think that the statement is false. Take e.g. x=pi/4.
2. $\displaystyle tan(x) = -\frac{\sqrt{12}}{2} $*use the operator arctan [/tex]*tan^{-1} [/tex]*
3. This is a quadratic equation. Let $\displaystyle *cos(x) = y $*then the equation becomes $\displaystyle 2y^2+y-1=0 $.*