2(cosx-sinx)=1-tanx

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Solution for 2(cosx-sinx)=1-tanx equation:


Simplifying
2(cosx + -1sinx) = 1 + -1tanx
(cosx * 2 + -1insx * 2) = 1 + -1tanx
(2cosx + -2insx) = 1 + -1tanx

Solving
2cosx + -2insx = 1 + -1antx

Solving for variable 'c'.

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

Add '2insx' to each side of the equation.
2cosx + -2insx + 2insx = 1 + -1antx + 2insx

Combine like terms: -2insx + 2insx = 0
2cosx + 0 = 1 + -1antx + 2insx
2cosx = 1 + -1antx + 2insx

Divide each side by '2osx'.
c = 0.5o-1s-1x-1 + -0.5ano-1s-1t + ino-1

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

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

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