JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
If \(\sin x=-\frac{3}{5}\), where \(\pi < x < \frac{3 \pi}{2}\) then \(80\left(\tan ^2 x-\cos x\right)\) is equal to :
- A \(109\)
- B \(108\)
- C \(18\)
- D \(19\)
Answer & Solution
Correct Answer
(A) \(109\)
Step-by-step Solution
Detailed explanation
\( \sin x=\frac{-3}{5}, \pi\) \( \tan x=\frac{3}{4} \cos x=-\frac{4}{5} \) \( 80\left(\tan ^2 x-\cos x\right) \) \( =80\left(\frac{9}{16}+\frac{4}{5}\right)=45+64=109\)
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