Verified answer

The negative in front of the bracket is applied to ALL terms within the brackets

-(1-sinx) = -1+sinx

Because the negative in front of the parentheses is distributed across all the figures inside, meaning 1 - (1 - sinx) = sinx is the same as saying 1 - 1 + sinx = sinx

Distribute the - from the parenthesis and you get 1-1+sinx. Think of negative signs infront of a parenthesis as a -1

The negative in front of the bracket is applied to ALL terms within the brackets

-(1-sinx) = -1+sinx

(a million + sinx + cosx)(a million - cosx) = a million + sinx + cosx - cosx - cosxsinx - cos²x. = sinx + sin²x - cosxsinx, on the grounds that sin²x + cos²x = a million. sinx(a million + sinx - cosx) = sinx + sin²x - sinxcosx. subsequently (a million + sinx + cosx)(a million - cosx) = sinx(a million + sinx - cosx). Now divide the two aspects with the help of (a million + sinx - cosx)(a million - cosx) to reach on the wanted identity.

because they ones cancel each other out