If sin x=-3/5 , where π <x<3π /2 , then 80 ( ta n 2 x- cos x ) is equal to :

Mathematics · Trigonometry Ratios and Identities

JEE Main 2024 — 8 April, Shift 1 — Question 11

If $\text{sin}x=-\frac{3}{5}$ , where $\pi <x<\frac{3\pi }{2}$ , then $80\left( \text{ta}{{\text{n}}^{2}}x-\text{cos}x \right)$ is equal to :

$\text{sin}x=\frac{-3}{5},\pi <\ x<\frac{3\pi }{2}$ $\text{tan}x=\frac{3}{4}$

$\text{cos}x=-\frac{4}{5}$ $80\left( \text{ta}{{\text{n}}^{2}}x-\text{cos}x \right)$ $=80\left( \frac{9}{16}+\frac{4}{5} \right)=45+64=109$

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