sin(2t)+cos(t)=0

Solution for sin(2t)+cos(t)=0 equation:

Simplifying
sin(2t) + cos(t) = 0

Remove parenthesis around (2t)
ins * 2t + cos(t) = 0

Reorder the terms for easier multiplication:
2ins * t + cos(t) = 0

Multiply ins * t
2inst + cos(t) = 0

Multiply cos * t
2inst + cost = 0

Reorder the terms:
cost + 2inst = 0

Solving
cost + 2inst = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2inst' to each side of the equation.
cost + 2inst + -2inst = 0 + -2inst

Combine like terms: 2inst + -2inst = 0
cost + 0 = 0 + -2inst
cost = 0 + -2inst
Remove the zero:
cost = -2inst

Divide each side by 'ost'.
c = -2ino-1

Simplifying
c = -2ino-1