simplify cot(x+45)

Solution

simplify

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

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

Solution steps

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

Rewrite using trig identities

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

cos (- π + x)

- 3 sin (x) sin (9 0^{\circ} - x)

sin (arccos (\frac{y}{2}))

cos (\frac{π}{3} - x) - 1

e^{10 x} sin (- 3 x)

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