sin(x+15)*cos(x-15)=0.5

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Solution for sin(x+15)*cos(x-15)=0.5 equation:


Simplifying
sin(x + 15) * cos(x + -15) = 0.5

Reorder the terms:
ins(15 + x) * cos(x + -15) = 0.5

Reorder the terms:
ins(15 + x) * cos(-15 + x) = 0.5

Reorder the terms for easier multiplication:
ins * cos(15 + x)(-15 + x) = 0.5

Multiply ins * cos
cinos2(15 + x)(-15 + x) = 0.5

Multiply (15 + x) * (-15 + x)
cinos2(15(-15 + x) + x(-15 + x)) = 0.5
cinos2((-15 * 15 + x * 15) + x(-15 + x)) = 0.5
cinos2((-225 + 15x) + x(-15 + x)) = 0.5
cinos2(-225 + 15x + (-15 * x + x * x)) = 0.5
cinos2(-225 + 15x + (-15x + x2)) = 0.5

Combine like terms: 15x + -15x = 0
cinos2(-225 + 0 + x2) = 0.5
cinos2(-225 + x2) = 0.5
(-225 * cinos2 + x2 * cinos2) = 0.5
(-225cinos2 + cinos2x2) = 0.5

Solving
-225cinos2 + cinos2x2 = 0.5

Solving for variable 'c'.

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

Reorder the terms:
-0.5 + -225cinos2 + cinos2x2 = 0.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + -225cinos2 + cinos2x2 = 0.0

The solution to this equation could not be determined.

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