3sin(x+30)=7cos(x)

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Solution for 3sin(x+30)=7cos(x) equation: 


Simplifying
3sin(x + 30) = 7cos(x)

Reorder the terms:
3ins(30 + x) = 7cos(x)
(30 * 3ins + x * 3ins) = 7cos(x)
(90ins + 3insx) = 7cos(x)

Multiply cos * x
90ins + 3insx = 7cosx

Solving
90ins + 3insx = 7cosx

Solving for variable 'i'.

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

Reorder the terms:
-7cosx + 90ins + 3insx = 7cosx + -7cosx

Combine like terms: 7cosx + -7cosx = 0
-7cosx + 90ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-7cox + 90in + 3inx) = 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 '(-7cox + 90in + 3inx)' equal to zero and attempt to solve:

Simplifying
-7cox + 90in + 3inx = 0

Solving
-7cox + 90in + 3inx = 0

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

Add '7cox' to each side of the equation.
-7cox + 90in + 7cox + 3inx = 0 + 7cox

Reorder the terms:
-7cox + 7cox + 90in + 3inx = 0 + 7cox

Combine like terms: -7cox + 7cox = 0
0 + 90in + 3inx = 0 + 7cox
90in + 3inx = 0 + 7cox
Remove the zero:
90in + 3inx = 7cox

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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