+269 Let x be an acute angle such that \tan x + \sec x = 0. Find $\cos x$.
+75 Here is my attempt.
1. Given the equation "tan x + sec x = 0", we need to find the value of cos x.
2. Rewrite the expression as "(sin x + 1) / cos x = 0".
3. This implies that sin x = -1, indicating that x is in the fourth quadrant.
4. Using the Pythagorean identity, we find that cos x = 0 for an acute angle satisfying the equation.
