What is expand (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1)) ?

The solution to expand (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1)) is 1

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expand (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1))

expand

\frac{sin ( x ) + csc ( x ) + 2}{( csc ( x ) + 1 ) ( sin ( x ) + 1 )}

1

Solution steps

\frac{sin ( x ) + csc ( x ) + 2}{( csc ( x ) + 1 ) ( sin ( x ) + 1 )}

Expand

(csc (x) + 1) (sin (x) + 1) : csc (x) sin (x) + csc (x) + sin (x) + 1

= \frac{sin ( x ) + csc ( x ) + 2}{csc ( x ) sin ( x ) + csc ( x ) + sin ( x ) + 1}

csc (x) sin (x) = 1

= \frac{2 + csc ( x ) + sin ( x )}{1 + csc ( x ) + sin ( x ) + 1}

1 + csc (x) + sin (x) + 1 = csc (x) + sin (x) + 2

= \frac{2 + csc ( x ) + sin ( x )}{csc ( x ) + sin ( x ) + 2}

Apply rule

\frac{a}{a} = 1

= 1

\frac{x}{x ^{2}} - \frac{1}{x ^{2}}

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

(3 x^{2} - 12) \cdot (x + 2 + 2)

(cos (x) - 2) (cos (x) + 1)

(x + 8 y = 9,) (- 3 x - 5 y = 12)

What is expand (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1)) ?
The solution to expand (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1)) is 1