sin(y+30)=3cosy

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Solution for sin(y+30)=3cosy equation:


Simplifying
sin(y + 30) = 3cosy

Reorder the terms:
ins(30 + y) = 3cosy
(30 * ins + y * ins) = 3cosy
(30ins + insy) = 3cosy

Solving
30ins + insy = 3cosy

Solving for variable 'i'.

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

Reorder the terms:
-3cosy + 30ins + insy = 3cosy + -3cosy

Combine like terms: 3cosy + -3cosy = 0
-3cosy + 30ins + insy = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-3coy + 30in + iny) = 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 '(-3coy + 30in + iny)' equal to zero and attempt to solve: Simplifying -3coy + 30in + iny = 0 Solving -3coy + 30in + iny = 0 Move all terms containing i to the left, all other terms to the right. Add '3coy' to each side of the equation. -3coy + 30in + 3coy + iny = 0 + 3coy Reorder the terms: -3coy + 3coy + 30in + iny = 0 + 3coy Combine like terms: -3coy + 3coy = 0 0 + 30in + iny = 0 + 3coy 30in + iny = 0 + 3coy Remove the zero: 30in + iny = 3coy 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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