What is expand sin(a)(csc(a)-sin(a)) ?

The solution to expand sin(a)(csc(a)-sin(a)) is cos^2(a)

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expand sin(a)(csc(a)-sin(a))

expand

sin (a) (csc (a) - sin (a))

cos^{2} (a)

Solution steps

sin (a) (csc (a) - sin (a))

Apply the distributive law:

a (b - c) = ab - a c

sin (a) (csc (a) - sin (a)) = sin (a) csc (a) - sin (a) sin (a)

= sin (a) csc (a) - sin (a) sin (a)

Simplify

sin (a) csc (a) - sin (a) sin (a) : cos^{2} (a)

= cos^{2} (a)

(1 + 2 y i)^{2}

\frac{( k + 1 ) ^{4} ( k + 2 ) ( k + 3 )}{3}

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

\frac{( 2 x ^{3} - 5 ) ^{5}}{30}

(a + b) cos (c) + (a + c) cos (b) + (b + c) cos (a)

What is expand sin(a)(csc(a)-sin(a)) ?
The solution to expand sin(a)(csc(a)-sin(a)) is cos^2(a)