What is expand (tan(pi(x+2)))/(x+2) ?

The solution to expand (tan(pi(x+2)))/(x+2) is (tan(pix))/(x+2)

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expand (tan(pi(x+2)))/(x+2)

expand

\frac{tan ( π ( x + 2 ) )}{x + 2}

\frac{tan ( π x )}{x + 2}

Solution steps

\frac{tan ( π ( x + 2 ) )}{x + 2}

Expand

π (x + 2) : π x + 2 π

= \frac{tan ( π x + 2 π )}{x + 2}

Rewrite using trig identities

= \frac{\frac{s i n ( π x )}{c o s ( π x )}}{x + 2}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{sin ( π x )}{cos ( π x ) ( x + 2 )}

Use the basic trigonometric identity:

\frac{sin ( x )}{cos ( x )} = tan (x)

= \frac{tan ( π x )}{( x + 2 )}

Remove parentheses:

(a) = a

= \frac{tan ( π x )}{x + 2}

1 - (x + 1) e^{- x}

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

(3 x - 3) (sin (x) + 1)

\frac{( π ( 1 + e ^{(- s)} ) )}{( ( s ^{2} + π ^{2} ) ( s ^{2} + s ) )}

\frac{2 ( 20 u ^{\frac{7}{2}} - 28 u ^{\frac{5}{2}} )}{35 e ^{x}} + C

What is expand (tan(pi(x+2)))/(x+2) ?
The solution to expand (tan(pi(x+2)))/(x+2) is (tan(pix))/(x+2)