10sinx*cosx=6cosx

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Solution for 10sinx*cosx=6cosx equation: 


Simplifying
10sinx * cosx = 6cosx

Multiply insx * cosx
10cinos2x2 = 6cosx

Solving
10cinos2x2 = 6cosx

Solving for variable 'c'.

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

Add '-6cosx' to each side of the equation.
10cinos2x2 + -6cosx = 6cosx + -6cosx

Combine like terms: 6cosx + -6cosx = 0
10cinos2x2 + -6cosx = 0

Factor out the Greatest Common Factor (GCF), '2cosx'.
2cosx(5insx + -3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve:

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5insx + -3)' equal to zero and attempt to solve:

Simplifying
5insx + -3 = 0

Reorder the terms:
-3 + 5insx = 0

Solving
-3 + 5insx = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5insx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5insx = 0 + 3
5insx = 0 + 3

Combine like terms: 0 + 3 = 3
5insx = 3

Add '-5insx' to each side of the equation.
5insx + -5insx = 3 + -5insx

Combine like terms: 5insx + -5insx = 0
0 = 3 + -5insx

Simplifying
0 = 3 + -5insx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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