1
JEE Main 2024 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
19
D
18
2
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Suppose $$\theta \in\left[0, \frac{\pi}{4}\right]$$ is a solution of $$4 \cos \theta-3 \sin \theta=1$$. Then $$\cos \theta$$ is equal to :

A
$$\frac{6-\sqrt{6}}{(3 \sqrt{6}-2)}$$
B
$$\frac{4}{(3 \sqrt{6}+2)}$$
C
$$\frac{6+\sqrt{6}}{(3 \sqrt{6}+2)}$$
D
$$\frac{4}{(3 \sqrt{6}-2)}$$
3
JEE Main 2024 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If $\tan \mathrm{A}=\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan \mathrm{B}=\frac{\sqrt{x}}{\sqrt{x^2+x+1}}$ and

$\tan \mathrm{C}=\left(x^{-3}+x^{-2}+x^{-1}\right)^{1 / 2}, 0<\mathrm{A}, \mathrm{B}, \mathrm{C}<\frac{\pi}{2}$, then $\mathrm{A}+\mathrm{B}$ is equal to :
A
$\mathrm{C}$
B
$\pi-C$
C
$2 \pi-C$
D
$\frac{\pi}{2}-\mathrm{C}$
4
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of solutions, of the equation $$e^{\sin x}-2 e^{-\sin x}=2$$, is :

A
0
B
1
C
2
D
more than 2
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