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

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

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expand (sin(x)-1)(2cos(x)+1)

expand

(sin (x) - 1) (2 cos (x) + 1)

sin (x) + sin (2 x) - 2 cos (x) - 1

Solution steps

(sin (x) - 1) (2 cos (x) + 1)

Apply FOIL method

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

= sin (x) + sin (2 x) - 2 cos (x) - 1

\frac{( s + 1 ) ( s + 5 )}{s ^{3} + 7 s ^{2} + 11 s + 3}

(y - cos^{2} (x)) d x + cos (x) d y

\frac{1}{s ( s ^{2} + 5 )}

(1 + \frac{1}{x}) (1 - \frac{1}{x})

\frac{1}{8} y (6 - x - 3 y)^{2}

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