What is expand (sin(x)+csc(x))^2 ?

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

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expand (sin(x)+csc(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

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

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

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

(e^{x} + e^{- x}) (e^{x} - e^{- x})

[g (e^{x} - 2 x^{3})]^{\frac{1}{2}}

(1 + 2 i)^{6}

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