4Sin^2x-11Cosx-1=0

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Solution for 4Sin^2x-11Cosx-1=0 equation:


Simplifying
4Sin2x + -11Cosx + -1 = 0

Reorder the terms:
-1 + 4in2xS + -11osxC = 0

Solving
-1 + 4in2xS + -11osxC = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 4in2xS + 1 + -11osxC = 0 + 1

Reorder the terms:
-1 + 1 + 4in2xS + -11osxC = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4in2xS + -11osxC = 0 + 1
4in2xS + -11osxC = 0 + 1

Combine like terms: 0 + 1 = 1
4in2xS + -11osxC = 1

Add '11osxC' to each side of the equation.
4in2xS + -11osxC + 11osxC = 1 + 11osxC

Combine like terms: -11osxC + 11osxC = 0
4in2xS + 0 = 1 + 11osxC
4in2xS = 1 + 11osxC

Divide each side by '4n2xS'.
i = 0.25n-2x-1S-1 + 2.75n-2osCS-1

Simplifying
i = 0.25n-2x-1S-1 + 2.75n-2osCS-1

Reorder the terms:
i = 2.75n-2osCS-1 + 0.25n-2x-1S-1

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