sin(10x)-cos(5x)=0

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Solution for sin(10x)-cos(5x)=0 equation:


Simplifying
sin(10x) + -1cos(5x) = 0

Remove parenthesis around (10x)
ins * 10x + -1cos(5x) = 0

Reorder the terms for easier multiplication:
10ins * x + -1cos(5x) = 0

Multiply ins * x
10insx + -1cos(5x) = 0

Remove parenthesis around (5x)
10insx + -1cos * 5x = 0

Reorder the terms for easier multiplication:
10insx + -1 * 5cos * x = 0

Multiply -1 * 5
10insx + -5cos * x = 0

Multiply cos * x
10insx + -5cosx = 0

Reorder the terms:
-5cosx + 10insx = 0

Solving
-5cosx + 10insx = 0

Solving for variable 'c'.

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

Add '-10insx' to each side of the equation.
-5cosx + 10insx + -10insx = 0 + -10insx

Combine like terms: 10insx + -10insx = 0
-5cosx + 0 = 0 + -10insx
-5cosx = 0 + -10insx
Remove the zero:
-5cosx = -10insx

Divide each side by '-5osx'.
c = 2ino-1

Simplifying
c = 2ino-1

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