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

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

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

expand

(sin (x) + cos (y)) (sin (y) - cos (x))

- cos (x + y) - cos (x) sin (x) + cos (y) sin (y)

Solution steps

(sin (x) + cos (y)) (sin (y) - cos (x))

Apply FOIL method

(sin (x) + cos (y)) (sin (y) - cos (x)) : - cos (x + y) - cos (x) sin (x) + cos (y) sin (y)

= - cos (x + y) - cos (x) sin (x) + cos (y) sin (y)

\frac{e ^{- 4 s} + 2 s}{s ( s - 2 )}

\frac{f ( x ) ( - 7 x + 8 )}{( 2 x - 6 ) ( 7 x + 4 )}

(x - 1) (x - 1 - 3) (x - 1 + 3)

\frac{34 u ( 2 - u )}{1 + 4 u - 2 u ^{2}}

\frac{( 8 x - 3 ) ^{3}}{1728}

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