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

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


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

Multiply cos * t
2cost + sin(2t) = 0

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

Reorder the terms for easier multiplication:
2cost + 2ins * t = 0

Multiply ins * t
2cost + 2inst = 0

Solving
2cost + 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.
2cost + 2inst + -2inst = 0 + -2inst

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

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

Simplifying
c = -1ino-1

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