5cos(2x)-2sin(2x)=0

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Solution for 5cos(2x)-2sin(2x)=0 equation:


Simplifying
5cos(2x) + -2sin(2x) = 0

Remove parenthesis around (2x)
5cos * 2x + -2sin(2x) = 0

Reorder the terms for easier multiplication:
5 * 2cos * x + -2sin(2x) = 0

Multiply 5 * 2
10cos * x + -2sin(2x) = 0

Multiply cos * x
10cosx + -2sin(2x) = 0

Remove parenthesis around (2x)
10cosx + -2ins * 2x = 0

Reorder the terms for easier multiplication:
10cosx + -2 * 2ins * x = 0

Multiply -2 * 2
10cosx + -4ins * x = 0

Multiply ins * x
10cosx + -4insx = 0

Solving
10cosx + -4insx = 0

Solving for variable 'c'.

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

Add '4insx' to each side of the equation.
10cosx + -4insx + 4insx = 0 + 4insx

Combine like terms: -4insx + 4insx = 0
10cosx + 0 = 0 + 4insx
10cosx = 0 + 4insx
Remove the zero:
10cosx = 4insx

Divide each side by '10osx'.
c = 0.4ino-1

Simplifying
c = 0.4ino-1

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