simplify cot(45+x)

Solution

simplify

cot (4 5^{\circ} + x)

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

Solution steps

cot (4 5^{\circ} + x)

Rewrite using trig identities

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

cos (arcsin (20 x))

sin (18 0^{\circ} + a)

3 sin (2 x + \frac{π}{3})

sin (18 0^{\circ} + θ)

cos (arctan (u))

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