This chapter is currently out of syllabus
1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Out of Syllabus
If n is the number of solutions of the equation
$$2\cos x\left( {4\sin \left( {{\pi \over 4} + x} \right)\sin \left( {{\pi \over 4} - x} \right) - 1} \right) = 1,x \in [0,\pi ]$$ and S is the sum of all these solutions, then the ordered pair (n, S) is :
A
(3, 13$$\pi$$ / 9)
B
(2, 2$$\pi$$ / 3)
C
(2, 8$$\pi$$ / 9)
D
(3, 5$$\pi$$ / 3)
2
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
Out of Syllabus
The number of solutions of the equation $${32^{{{\tan }^2}x}} + {32^{{{\sec }^2}x}} = 81,\,0 \le x \le {\pi \over 4}$$ is :
A
3
B
1
C
0
D
2
3
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
Out of Syllabus
The sum of solutions of the equation

$${{\cos x} \over {1 + \sin x}} = \left| {\tan 2x} \right|$$, $$x \in \left( { - {\pi \over 2},{\pi \over 2}} \right) - \left\{ {{\pi \over 4}, - {\pi \over 4}} \right\}$$ is :
A
$$- {{11\pi } \over {30}}$$
B
$${\pi \over {10}}$$
C
$$- {{7\pi } \over {30}}$$
D
$$- {\pi \over {15}}$$
4
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
Out of Syllabus
The sum of all values of x in [0, 2$$\pi$$], for which sin x + sin 2x + sin 3x + sin 4x = 0, is equal to :
A
8$$\pi$$
B
11$$\pi$$
C
12$$\pi$$
D
9$$\pi$$
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