What is tan(x)cos(x)+sin^2(x)csc(x) ?

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

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simplify tan(x)cos(x)+sin^2(x)csc(x)

simplify

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

2 sin (x)

Solution steps

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

cos (x) tan (x) = sin (x)

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

csc (x) sin (x) = 1

= sin (x) (1 + 1)

Factor

sin (x) + sin^{2} (x) csc (x) : sin (x) (1 + sin (x) csc (x))

= sin (x) (sin (x) csc (x) + 1)

= 2 sin (x)

(- x^{2} + 2 x - 1) (2 x^{2} + 4 x - 1)

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

8 x^{5} - 32 x^{3}

\frac{12 x ^{4}}{3 x}

25 x^{10}

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