Is it possible to factor 1-sin^2x in two different ways? If so, show and explain. If not, why not?

Question

Is it possible to factor
`1-sin^2x` in two different ways? If so, show and explain. If not, why not?

Answer 1

See below

Explanation:

• Yes it is possible

• First way is:

• 
  `1-sin^2x= (1+\sin x)(1-\sin x)`

• Second way is:

• 
  `1-sin^2x= \cos^2x = \cos x. \cos x`