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Simplifying cosx(tan2x + 1) = sec(x) Reorder the terms: cosx(1 + an2tx) = sec(x) (1 * cosx + an2tx * cosx) = sec(x) Reorder the terms: (acn2ostx2 + 1cosx) = sec(x) (acn2ostx2 + 1cosx) = sec(x) Multiply ces * x acn2ostx2 + 1cosx = cesx Solving acn2ostx2 + 1cosx = cesx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1cosx' to each side of the equation. acn2ostx2 + 1cosx + -1cosx = cesx + -1cosx Combine like terms: 1cosx + -1cosx = 0 acn2ostx2 + 0 = cesx + -1cosx acn2ostx2 = cesx + -1cosx Divide each side by 'cn2ostx2'. a = en-2o-1t-1x-1 + -1n-2t-1x-1 Simplifying a = en-2o-1t-1x-1 + -1n-2t-1x-1
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