sin(x+15)=3cos(x+15)

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Solution for sin(x+15)=3cos(x+15) equation: 


Simplifying
sin(x + 15) = 3cos(x + 15)

Reorder the terms:
ins(15 + x) = 3cos(x + 15)
(15 * ins + x * ins) = 3cos(x + 15)
(15ins + insx) = 3cos(x + 15)

Reorder the terms:
15ins + insx = 3cos(15 + x)
15ins + insx = (15 * 3cos + x * 3cos)
15ins + insx = (45cos + 3cosx)

Solving
15ins + insx = 45cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
-45cos + -3cosx + 15ins + insx = 45cos + 3cosx + -45cos + -3cosx

Reorder the terms:
-45cos + -3cosx + 15ins + insx = 45cos + -45cos + 3cosx + -3cosx

Combine like terms: 45cos + -45cos = 0
-45cos + -3cosx + 15ins + insx = 0 + 3cosx + -3cosx
-45cos + -3cosx + 15ins + insx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-45cos + -3cosx + 15ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-45co + -3cox + 15in + inx) = 0


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

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

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 '(-45co + -3cox + 15in + inx)' equal to zero and attempt to solve:

Simplifying
-45co + -3cox + 15in + inx = 0

Solving
-45co + -3cox + 15in + inx = 0

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

Add '45co' to each side of the equation.
-45co + -3cox + 15in + 45co + inx = 0 + 45co

Reorder the terms:
-45co + 45co + -3cox + 15in + inx = 0 + 45co

Combine like terms: -45co + 45co = 0
0 + -3cox + 15in + inx = 0 + 45co
-3cox + 15in + inx = 0 + 45co
Remove the zero:
-3cox + 15in + inx = 45co

Add '3cox' to each side of the equation.
-3cox + 15in + 3cox + inx = 45co + 3cox

Reorder the terms:
-3cox + 3cox + 15in + inx = 45co + 3cox

Combine like terms: -3cox + 3cox = 0
0 + 15in + inx = 45co + 3cox
15in + inx = 45co + 3cox

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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