What is cot(45-x/2) ?

The solution to cot(45-x/2) is (cos(x/2)+sin(x/2))/(cos(x/2)-sin(x/2))

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simplify cot(45-x/2)

simplify

cot (4 5^{\circ} - \frac{x}{2})

\frac{cos ( \frac{x}{2} ) + sin ( \frac{x}{2} )}{cos ( \frac{x}{2} ) - sin ( \frac{x}{2} )}

Solution steps

cot (4 5^{\circ} - \frac{x}{2})

Rewrite using trig identities

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

cos^{2} (100 x + \frac{π}{3})

cos (n - π)

5 - 5 sin^{2} (x)

cot (- x) tan (- x)

sin (\frac{π}{2} - X)

What is cot(45-x/2) ?
The solution to cot(45-x/2) is (cos(x/2)+sin(x/2))/(cos(x/2)-sin(x/2))