What is tan(45-x/2) ?

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

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simplify tan(45-x/2)

simplify

tan (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

tan (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} )}

4 + (2 tan (x))^{2}

a r cot (\frac{3}{- 1})

tan (arcsin (\frac{x + 1}{2}))

sin (- 0.65 r a d)

sec (x + \frac{π}{5})

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