The first step to solving this is to use tan(t) = [tex] \frac{sin(t)}{cos(t)} [/tex] to transform this expression. cos(x) × [tex]( \frac{sin(x)}{cos(x)} + cot(x) )[/tex] Using cot(t) = [tex] \frac{cos(x)}{sin(x)} [/tex],, transform the expression again. cos(x) × [tex]( \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} )[/tex] Next you need to write all numerators above the least common denominator (cos(x)sin(x)). cos(x) × [tex] \frac{sin(x)^{2} + cos(x)^{2} }{cos(x)sin(x)} [/tex] Using sin(t)² + cos(t)² = 1,, simplify the expression. cos(x) × [tex] \frac{1}{cos(x)sin(x)} [/tex] Reduce the expression with cos(x). [tex] \frac{1}{sin(x)} [/tex] Lastly,, use [tex] \frac{1}{sin(t)} [/tex] = csc(t) to transform the expression and find your final answer. csc(x) This means that the final answer to this expression is csc(x). Let me know if you have any further questions. :)