What is sin(x)(csc(x)-sin(x)) ?

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

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simplify sin(x)(csc(x)-sin(x))

simplify

sin (x) (csc (x) - sin (x))

cos^{2} (x)

Solution steps

sin (x) (csc (x) - sin (x))

Express with sin, cos

= 1 - sin^{2} (x)

Rewrite using trig identities

= cos^{2} (x)

cos^{2} (t) - sin^{2} (t)

75 x^{3} - 27 x^{3}

\frac{cos ^{2} ( x )}{1 - sin ( x )}

\frac{x ^{2} - 2 x}{sin ( x )}

3 (1 + i)^{2}

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