To evaluate cot(35) + cot(99) + tan(35) + tan(99), we first need to understand the definitions of cotangent and tangent. Cotangent is the reciprocal of the tangent function, while tangent is the ratio of the opposite side to the adjacent side in a right triangle. By using trigonometric identities and the fact that cotangent is the reciprocal of tangent, we can simplify the expression to 1/tan(35) + 1/tan(99) + tan(35) + tan(99). Further simplification may involve using the tangent addition formula or converting all terms to sine and cosine functions for a final numerical result.