-3sin(t)=15cos(t)sin(t)

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Solution for -3sin(t)=15cos(t)sin(t) equation:


Simplifying
-3sin(t) = 15cos(t) * sin(t)
Multiply ins * t
-3inst = 15cos(t) * sin(t)
Multiply cos * t
-3inst = 15cost * ins * t
Multiply cost * ins
-3inst = 15cinos2t * t
Multiply cinos2t * t
-3inst = 15cinos2t2
Solving
-3inst = 15cinos2t2
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-15cinos2t2' to each side of the equation.
-15cinos2t2 + -3inst = 15cinos2t2 + -15cinos2t2
Combine like terms: 15cinos2t2 + -15cinos2t2 = 0
-15cinos2t2 + -3inst = 0
Factor out the Greatest Common Factor (GCF), '-3inst'.
-3inst(5cost + 1) = 0
Ignore the factor -3.

Subproblem 1

Set the factor 'inst' equal to zero and attempt to solve: Simplifying inst = 0 Solving inst = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inst = 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 '(5cost + 1)' equal to zero and attempt to solve: Simplifying 5cost + 1 = 0 Reorder the terms: 1 + 5cost = 0 Solving 1 + 5cost = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5cost = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5cost = 0 + -1 5cost = 0 + -1 Combine like terms: 0 + -1 = -1 5cost = -1 Add '-5cost' to each side of the equation. 5cost + -5cost = -1 + -5cost Combine like terms: 5cost + -5cost = 0 0 = -1 + -5cost Simplifying 0 = -1 + -5cost 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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