If \(\sin x=-\frac{3}{5}\), where \(\pi [JEE Main 2024, 8 Apr (Shift 1)]
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PYQIf \(\sin x=-\frac{3}{5}\), where \(\pi [JEE Main 2024, 8 Apr (Shift 1)]
✓ Correct answer: a)
109
Explanation
\(\sin x=\frac{-3}{5},\pi \(\Rightarrow \tan x=\frac{3}{4}\) and \(\cos x=-\frac{4}{5}\) \(80\left({\tan }^{2}x-\cos x\right)=80\left(\frac{9}{16}+\frac{4}{5}\right)=45+64=109\)
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