यदि (x) तृतीय चतुर्थांश में है और \(\tan x=\frac{4}{3}\), तो \(\sin x\) क्या है?
If (x) lies in the third quadrant and \(\tan x=\frac{4}{3}\), what is \(\sin x\)?
Explanation opens after your attempt
Correct Answer
A. \(-\frac{4}{5} \)
Concept
In the third quadrant, both \(\sin x\) and \(\cos x\) are negative, while \(\tan x\) is positive. Hence \(\sin x=-\frac{4}{5}\).
Why this answer is correct
The correct answer is A. \(-\frac{4}{5} \). In the third quadrant, both \(\sin x\) and \(\cos x\) are negative, while \(\tan x\) is positive. Hence \(\sin x=-\frac{4}{5}\).
Exam Tip
तृतीय चतुर्थांश में \(\sin x\) और \(\cos x\) दोनों ऋणात्मक होते हैं, पर \(\tan x\) धनात्मक होता है। इसलिए \(\sin x=-\frac{4}{5}\)।
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