This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Let's solve this. We want to simplify the expression (tan x) / (cos x). Step 1: Rewrite tan x in terms of sin x and cos x. Recall that tan x = (sin x) / (cos x). So, the expression becomes: ((sin x) / (cos x)) / (cos x) Step 2: Simplify the complex fraction. Dividing by cos x is the same as multiplying by (1)/(cos x). (sin x) / (cos x) × (1) / (cos x) Step 3: Multiply the fractions. (sin x × 1) / (cos x × cos x) Step 4: Simplify the denominator. sin x / cos² x This can also be written as (sin x) × (1/cos x) × (1/cos x), which is sin x sec² x. The simplified expression for (tan x) / (cos x) is sin x / cos² x or sin x sec² x. Send me the next one 📸