3secx=4cosx

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Solution for 3secx=4cosx equation:


Simplifying
3secx = 4cosx

Solving
3cesx = 4cosx

Solving for variable 'c'.

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

Add '-4cosx' to each side of the equation.
3cesx + -4cosx = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
3cesx + -4cosx = 0

Factor out the Greatest Common Factor (GCF), 'csx'.
csx(3e + -4o) = 0

Subproblem 1

Set the factor 'csx' equal to zero and attempt to solve: Simplifying csx = 0 Solving csx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying csx = 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 '(3e + -4o)' equal to zero and attempt to solve: Simplifying 3e + -4o = 0 Solving 3e + -4o = 0 Move all terms containing c to the left, all other terms to the right. Add '-3e' to each side of the equation. 3e + -3e + -4o = 0 + -3e Combine like terms: 3e + -3e = 0 0 + -4o = 0 + -3e -4o = 0 + -3e Remove the zero: -4o = -3e Add '4o' to each side of the equation. -4o + 4o = -3e + 4o Combine like terms: -4o + 4o = 0 0 = -3e + 4o Simplifying 0 = -3e + 4o 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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