Answer:
The Answer to Your Question :
Sin(x) and Cos(x) are each other’s derivative functions.
dSin(x)/dx = Cos(x)
dCos(x)/dx = -Sin(x)
Here are some other relationships where x is between 0 and 90
Sin(90 - x) = Cos(x)
Cos(90 - x) = Sin(x)
Sin(90 + x) = Cos(x)
Cos(90 + x) = -Sin(x)
Sin(270 - x) = -Sin(x)
Cos(270 - x) = Cos(x)
Sin(270 + x) = -Cos(x)
Cos(270 + x) = Sin(x)
Some multiple angle sin-cos relationships
sin(x/2) = +-sqrt((1-cos(x))/2)
Some helpful facts
Sin(-x) = -Sin(x) [due to perfect asymmetry about x=0]
Cos(-x) = Cos(x) [due to symmetry about x=0]
Explanation:
Hope this helps!!!
- Amaya