sin^2x-2cosxtan-1=0

Solution for sin^2x-2cosxtan-1=0 equation:

Simplifying
sin2x + -2cosxtan + -1 = 0

Reorder the terms:
-1 + -2acnostx + in2sx = 0

Solving
-1 + -2acnostx + in2sx = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + -2acnostx + 1 + in2sx = 0 + 1

Reorder the terms:
-1 + 1 + -2acnostx + in2sx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2acnostx + in2sx = 0 + 1
-2acnostx + in2sx = 0 + 1

Combine like terms: 0 + 1 = 1
-2acnostx + in2sx = 1

Add '-1in2sx' to each side of the equation.
-2acnostx + in2sx + -1in2sx = 1 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
-2acnostx + 0 = 1 + -1in2sx
-2acnostx = 1 + -1in2sx

Divide each side by '-2cnostx'.
a = -0.5c-1n-1o-1s-1t-1x-1 + 0.5c-1ino-1t-1

Simplifying
a = -0.5c-1n-1o-1s-1t-1x-1 + 0.5c-1ino-1t-1

Reorder the terms:
a = 0.5c-1ino-1t-1 + -0.5c-1n-1o-1s-1t-1x-1