sin(2x+30)=-cos(2x+15)

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Solution for sin(2x+30)=-cos(2x+15) equation: 


Simplifying
sin(2x + 30) = -1cos(2x + 15)

Reorder the terms:
ins(30 + 2x) = -1cos(2x + 15)
(30 * ins + 2x * ins) = -1cos(2x + 15)
(30ins + 2insx) = -1cos(2x + 15)

Reorder the terms:
30ins + 2insx = -1cos(15 + 2x)
30ins + 2insx = (15 * -1cos + 2x * -1cos)
30ins + 2insx = (-15cos + -2cosx)

Solving
30ins + 2insx = -15cos + -2cosx

Solving for variable 'i'.

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

Reorder the terms:
15cos + 2cosx + 30ins + 2insx = -15cos + -2cosx + 15cos + 2cosx

Reorder the terms:
15cos + 2cosx + 30ins + 2insx = -15cos + 15cos + -2cosx + 2cosx

Combine like terms: -15cos + 15cos = 0
15cos + 2cosx + 30ins + 2insx = 0 + -2cosx + 2cosx
15cos + 2cosx + 30ins + 2insx = -2cosx + 2cosx

Combine like terms: -2cosx + 2cosx = 0
15cos + 2cosx + 30ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(15co + 2cox + 30in + 2inx) = 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 '(15co + 2cox + 30in + 2inx)' equal to zero and attempt to solve:

Simplifying
15co + 2cox + 30in + 2inx = 0

Solving
15co + 2cox + 30in + 2inx = 0

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

Add '-15co' to each side of the equation.
15co + 2cox + 30in + -15co + 2inx = 0 + -15co

Reorder the terms:
15co + -15co + 2cox + 30in + 2inx = 0 + -15co

Combine like terms: 15co + -15co = 0
0 + 2cox + 30in + 2inx = 0 + -15co
2cox + 30in + 2inx = 0 + -15co
Remove the zero:
2cox + 30in + 2inx = -15co

Add '-2cox' to each side of the equation.
2cox + 30in + -2cox + 2inx = -15co + -2cox

Reorder the terms:
2cox + -2cox + 30in + 2inx = -15co + -2cox

Combine like terms: 2cox + -2cox = 0
0 + 30in + 2inx = -15co + -2cox
30in + 2inx = -15co + -2cox

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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