6sin^2(5x)+cos(5x)=4

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Solution for 6sin^2(5x)+cos(5x)=4 equation:


Simplifying
6sin2(5x) + cos(5x) = 4

Remove parenthesis around (5x)
6in2s * 5x + cos(5x) = 4

Reorder the terms for easier multiplication:
6 * 5in2s * x + cos(5x) = 4

Multiply 6 * 5
30in2s * x + cos(5x) = 4

Multiply in2s * x
30in2sx + cos(5x) = 4

Remove parenthesis around (5x)
30in2sx + cos * 5x = 4

Reorder the terms for easier multiplication:
30in2sx + 5cos * x = 4

Multiply cos * x
30in2sx + 5cosx = 4

Reorder the terms:
5cosx + 30in2sx = 4

Solving
5cosx + 30in2sx = 4

Solving for variable 'c'.

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

Add '-30in2sx' to each side of the equation.
5cosx + 30in2sx + -30in2sx = 4 + -30in2sx

Combine like terms: 30in2sx + -30in2sx = 0
5cosx + 0 = 4 + -30in2sx
5cosx = 4 + -30in2sx

Divide each side by '5osx'.
c = 0.8o-1s-1x-1 + -6in2o-1

Simplifying
c = 0.8o-1s-1x-1 + -6in2o-1

Reorder the terms:
c = -6in2o-1 + 0.8o-1s-1x-1

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