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

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

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

expand

sin (x) (1 + cos^{2} (x))

sin (x) + cos^{2} (x) sin (x)

Solution steps

sin (x) (1 + cos^{2} (x))

Apply the distributive law:

a (b + c) = ab + a c

sin (x) (1 + cos^{2} (x)) = sin (x) \cdot 1 + sin (x) cos^{2} (x)

= sin (x) \cdot 1 + sin (x) cos^{2} (x)

Simplify

sin (x) \cdot 1 + sin (x) cos^{2} (x) : sin (x) + cos^{2} (x) sin (x)

= sin (x) + cos^{2} (x) sin (x)

(y - 1) sin (3 t) e^{c o s (3 t)}

\frac{1}{( s - 4 ) ( s + 6 )}

\frac{2 ( 2 u ^{2} v ^{2} - 1 )}{u}

\frac{2 x ^{3} - x ^{2} - x + 3}{x ( x - 1 ) ( 2 x + 3 )}

v (1, 2) f (2, - 2)

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