What is expand (sin(x)+cos(x)+1)(sin(x)+cos(x)-1) ?

The solution to expand (sin(x)+cos(x)+1)(sin(x)+cos(x)-1) is sin(2x)

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expand (sin(x)+cos(x)+1)(sin(x)+cos(x)-1)

expand

(sin (x) + cos (x) + 1) (sin (x) + cos (x) - 1)

sin (2 x)

Solution steps

(sin (x) + cos (x) + 1) (sin (x) + cos (x) - 1)

Distribute parentheses

= sin (x) sin (x) + sin (x) cos (x) + sin (x) (- 1) + cos (x) sin (x) + cos (x) cos (x) + cos (x) (- 1) + 1 \cdot sin (x) + 1 \cdot cos (x) + 1 \cdot (- 1)

Simplify

sin (x) sin (x) + sin (x) cos (x) + sin (x) (- 1) + cos (x) sin (x) + cos (x) cos (x) + cos (x) (- 1) + 1 \cdot sin (x) + 1 \cdot cos (x) + 1 \cdot (- 1) : sin (2 x)

= sin (2 x)

(i - 1)^{11}

\frac{x ^{2}}{( x + 3 ) ( x - 5 )}

(1 + i)^{11}

(5 + x)^{2}

(x - y i)^{2}

What is expand (sin(x)+cos(x)+1)(sin(x)+cos(x)-1) ?
The solution to expand (sin(x)+cos(x)+1)(sin(x)+cos(x)-1) is sin(2x)