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Simplifying 2tanx * cosx + 2cosx = tanx + 1 Multiply antx * cosx 2acnostx2 + 2cosx = tanx + 1 Reorder the terms: 2acnostx2 + 2cosx = 1 + antx Solving 2acnostx2 + 2cosx = 1 + antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1antx' to each side of the equation. 2acnostx2 + -1antx + 2cosx = 1 + antx + -1antx Combine like terms: antx + -1antx = 0 2acnostx2 + -1antx + 2cosx = 1 + 0 2acnostx2 + -1antx + 2cosx = 1 Add '-2cosx' to each side of the equation. 2acnostx2 + -1antx + 2cosx + -2cosx = 1 + -2cosx Combine like terms: 2cosx + -2cosx = 0 2acnostx2 + -1antx + 0 = 1 + -2cosx 2acnostx2 + -1antx = 1 + -2cosx Reorder the terms: -1 + 2acnostx2 + -1antx + 2cosx = 1 + -2cosx + -1 + 2cosx Reorder the terms: -1 + 2acnostx2 + -1antx + 2cosx = 1 + -1 + -2cosx + 2cosx Combine like terms: 1 + -1 = 0 -1 + 2acnostx2 + -1antx + 2cosx = 0 + -2cosx + 2cosx -1 + 2acnostx2 + -1antx + 2cosx = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 -1 + 2acnostx2 + -1antx + 2cosx = 0 The solution to this equation could not be determined.
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