Sqrt(2)cotx=2cosx

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Solution for Sqrt(2)cotx=2cosx equation:


Simplifying
Sqrt(2) * cotx = 2cosx

Reorder the terms for easier multiplication:
2qrtS * cotx = 2cosx

Multiply qrtS * cotx
2coqrt2xS = 2cosx

Solving
2coqrt2xS = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
2coqrt2xS + -2cosx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
2coqrt2xS + -2cosx = 0

Factor out the Greatest Common Factor (GCF), '2cox'.
2cox(qrt2S + -1s) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'cox' equal to zero and attempt to solve: Simplifying cox = 0 Solving cox = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cox = 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 '(qrt2S + -1s)' equal to zero and attempt to solve: Simplifying qrt2S + -1s = 0 Solving qrt2S + -1s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1qrt2S' to each side of the equation. qrt2S + -1qrt2S + -1s = 0 + -1qrt2S Combine like terms: qrt2S + -1qrt2S = 0 0 + -1s = 0 + -1qrt2S -1s = 0 + -1qrt2S Remove the zero: -1s = -1qrt2S Add 's' to each side of the equation. -1s + s = -1qrt2S + s Combine like terms: -1s + s = 0 0 = -1qrt2S + s Simplifying 0 = -1qrt2S + s 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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