sin(2z+i)=2cos(2z+i)

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Solution for sin(2z+i)=2cos(2z+i) equation:


Simplifying
sin(2z + i) = 2cos(2z + i)

Reorder the terms:
ins(i + 2z) = 2cos(2z + i)
(i * ins + 2z * ins) = 2cos(2z + i)

Reorder the terms:
(2insz + i2ns) = 2cos(2z + i)
(2insz + i2ns) = 2cos(2z + i)

Reorder the terms:
2insz + i2ns = 2cos(i + 2z)
2insz + i2ns = (i * 2cos + 2z * 2cos)
2insz + i2ns = (2cios + 4cosz)

Solving
2insz + i2ns = 2cios + 4cosz

Solving for variable 'i'.

Reorder the terms:
-2cios + -4cosz + 2insz + i2ns = 2cios + 4cosz + -2cios + -4cosz

Reorder the terms:
-2cios + -4cosz + 2insz + i2ns = 2cios + -2cios + 4cosz + -4cosz

Combine like terms: 2cios + -2cios = 0
-2cios + -4cosz + 2insz + i2ns = 0 + 4cosz + -4cosz
-2cios + -4cosz + 2insz + i2ns = 4cosz + -4cosz

Combine like terms: 4cosz + -4cosz = 0
-2cios + -4cosz + 2insz + i2ns = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-2cio + -4coz + 2inz + i2n) = 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 '(-2cio + -4coz + 2inz + i2n)' equal to zero and attempt to solve: Simplifying -2cio + -4coz + 2inz + i2n = 0 Solving -2cio + -4coz + 2inz + i2n = 0 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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