Question
Simplify. \( \frac{\tan x \cos x}{\sin x} \) \( [?] \)
Ask by Henry Barker. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified result is \( 1 \).
Solution
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Mind Expander
To simplify \( \frac{\tan x \cos x}{\sin x} \), we start by recalling that \( \tan x = \frac{\sin x}{\cos x} \). Substituting this into the expression gives us: \[ \frac{\frac{\sin x}{\cos x} \cos x}{\sin x} \] The \( \cos x \) in the numerator and denominator cancels out, leading to: \[ \frac{\sin x}{\sin x} = 1 \] So, the simplified expression is \( 1 \).
