1
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
The number of solutions of the equation
1 + sin4 x = cos23x, $$x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}} \right]$$ is :
A
5
B
3
C
7
D
4
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Let S = {$$\theta$$ $$\in$$ [–2$$\pi$$, 2$$\pi$$] : 2cos2$$\theta$$ + 3sin$$\theta$$ = 0}. Then the sum of the elements of S is
A
$$\pi$$
B
2$$\pi$$
C
$${{13\pi } \over 6}$$
D
$${{5\pi } \over 3}$$
3
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
The sum of all values of $$\theta$$ $$\in$$$$\left( {0,{\pi \over 2}} \right)$$ satisfying
sin2 2$$\theta$$ + cos4 2$$\theta$$ = $${3 \over 4}$$ is -
A
$${{5\pi } \over 4}$$
B
$${\pi \over 2}$$
C
$$\pi$$
D
$${{3\pi } \over 8}$$
4
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1 If  0 $$\le$$ x < $${\pi \over 2}$$,  then the number of values of x for which sin x $$-$$ sin 2x + sin 3x = 0, is :
A
3
B
1
C
4
D
2
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