# -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 1Set 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 2Set 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.`