What is expand tan(pi(x-1/2)) ?

The solution to expand tan(pi(x-1/2)) is -cot(pix)

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expand tan(pi(x-1/2))

expand

tan (π (x - \frac{1}{2}))

- cot (π x)

Solution steps

tan (π (x - \frac{1}{2}))

Expand

π (x - \frac{1}{2}) : π x - \frac{π}{2}

= tan (π x - \frac{π}{2})

Rewrite using trig identities

= - \frac{cos ( π x )}{sin ( π x )}

Use the basic trigonometric identity:

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

= - cot (π x)

- cos ((1 - n) π + 1)

\frac{( 3 x ^{2} + 7 x )}{( ( x ^{2} + 1 ) ( x ^{2} + 4 ) )}

\frac{4 x ^{2} - 9}{( x - 1 ) x}

(\frac{y ^{2}}{2} + ln ∣ y ∣ + C) (3 x^{2} + C)

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

What is expand tan(pi(x-1/2)) ?
The solution to expand tan(pi(x-1/2)) is -cot(pix)