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3.Trigonometrical Ratios, Functions and Identities
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જો $\sin x=-\frac{3}{5}$, જ્યાં $\pi < x < \frac{3 \pi}{2}$, તો $80\left(\tan ^2 x-\cos x\right)=$...........
A
$109$
B
$108$
C
$18$
D
$19$
(JEE MAIN-2024)
Solution
$ \sin x=\frac{-3}{5}, \pi$
$ \tan x=\frac{3}{4} \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$
Standard 11
Mathematics
