6cos^2(x)+7sin(x)-1=0

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Solution for 6cos^2(x)+7sin(x)-1=0 equation:


Simplifying
6cos2(x) + 7sin(x) + -1 = 0

Multiply cos2 * x
6cos2x + 7sin(x) + -1 = 0

Multiply ins * x
6cos2x + 7insx + -1 = 0

Reorder the terms:
-1 + 6cos2x + 7insx = 0

Solving
-1 + 6cos2x + 7insx = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 6cos2x + 1 + 7insx = 0 + 1

Reorder the terms:
-1 + 1 + 6cos2x + 7insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6cos2x + 7insx = 0 + 1
6cos2x + 7insx = 0 + 1

Combine like terms: 0 + 1 = 1
6cos2x + 7insx = 1

Add '-7insx' to each side of the equation.
6cos2x + 7insx + -7insx = 1 + -7insx

Combine like terms: 7insx + -7insx = 0
6cos2x + 0 = 1 + -7insx
6cos2x = 1 + -7insx

Divide each side by '6os2x'.
c = 0.1666666667o-1s-2x-1 + -1.166666667ino-1s-1

Simplifying
c = 0.1666666667o-1s-2x-1 + -1.166666667ino-1s-1

Reorder the terms:
c = -1.166666667ino-1s-1 + 0.1666666667o-1s-2x-1

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