sin(2x)+cos(3x)=1.5

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Solution for sin(2x)+cos(3x)=1.5 equation:


Simplifying
sin(2x) + cos(3x) = 1.5

Remove parenthesis around (2x)
ins * 2x + cos(3x) = 1.5

Reorder the terms for easier multiplication:
2ins * x + cos(3x) = 1.5

Multiply ins * x
2insx + cos(3x) = 1.5

Remove parenthesis around (3x)
2insx + cos * 3x = 1.5

Reorder the terms for easier multiplication:
2insx + 3cos * x = 1.5

Multiply cos * x
2insx + 3cosx = 1.5

Reorder the terms:
3cosx + 2insx = 1.5

Solving
3cosx + 2insx = 1.5

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
3cosx + 2insx + -2insx = 1.5 + -2insx

Combine like terms: 2insx + -2insx = 0
3cosx + 0 = 1.5 + -2insx
3cosx = 1.5 + -2insx

Divide each side by '3osx'.
c = 0.5o-1s-1x-1 + -0.6666666667ino-1

Simplifying
c = 0.5o-1s-1x-1 + -0.6666666667ino-1

Reorder the terms:
c = -0.6666666667ino-1 + 0.5o-1s-1x-1

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