sin(90-2b)=cos(90-3b)

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Solution for sin(90-2b)=cos(90-3b) equation: 


Simplifying
sin(90 + -2b) = cos(90 + -3b)
(90 * ins + -2b * ins) = cos(90 + -3b)

Reorder the terms:
(-2bins + 90ins) = cos(90 + -3b)
(-2bins + 90ins) = cos(90 + -3b)
-2bins + 90ins = (90 * cos + -3b * cos)

Reorder the terms:
-2bins + 90ins = (-3bcos + 90cos)
-2bins + 90ins = (-3bcos + 90cos)

Solving
-2bins + 90ins = -3bcos + 90cos

Solving for variable 'b'.

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

Add '3bcos' to each side of the equation.
-2bins + 3bcos + 90ins = -3bcos + 3bcos + 90cos

Reorder the terms:
3bcos + -2bins + 90ins = -3bcos + 3bcos + 90cos

Combine like terms: -3bcos + 3bcos = 0
3bcos + -2bins + 90ins = 0 + 90cos
3bcos + -2bins + 90ins = 90cos

Add '-90ins' to each side of the equation.
3bcos + -2bins + 90ins + -90ins = 90cos + -90ins

Combine like terms: 90ins + -90ins = 0
3bcos + -2bins + 0 = 90cos + -90ins
3bcos + -2bins = 90cos + -90ins

Reorder the terms:
3bcos + -2bins + -90cos + 90ins = 90cos + -90cos + -90ins + 90ins

Combine like terms: 90cos + -90cos = 0
3bcos + -2bins + -90cos + 90ins = 0 + -90ins + 90ins
3bcos + -2bins + -90cos + 90ins = -90ins + 90ins

Combine like terms: -90ins + 90ins = 0
3bcos + -2bins + -90cos + 90ins = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(3bco + -2bin + -90co + 90in) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing b 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 '(3bco + -2bin + -90co + 90in)' equal to zero and attempt to solve:

Simplifying
3bco + -2bin + -90co + 90in = 0

Solving
3bco + -2bin + -90co + 90in = 0

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

Add '90co' to each side of the equation.
3bco + -2bin + -90co + 90co + 90in = 0 + 90co

Combine like terms: -90co + 90co = 0
3bco + -2bin + 0 + 90in = 0 + 90co
3bco + -2bin + 90in = 0 + 90co
Remove the zero:
3bco + -2bin + 90in = 90co

Add '-90in' to each side of the equation.
3bco + -2bin + 90in + -90in = 90co + -90in

Combine like terms: 90in + -90in = 0
3bco + -2bin + 0 = 90co + -90in
3bco + -2bin = 90co + -90in

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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