1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The value of $${{\cot 54^\circ } \over {\tan 36^\circ }} + {{\tan 20^\circ } \over {\cot 70^\circ }}$$ is

A
0
B
2
C
3
D
1
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If $$\sin 6\theta + \sin 4\theta + \sin 2\theta = 0$$, then the general value of $$\theta$$ is

A
$${{n\pi } \over 4},n\pi \pm {\pi \over 3}$$
B
$${{n\pi } \over 4},n\pi \pm {\pi \over 6}$$
C
$${{n\pi } \over 4},2n\pi \pm {\pi \over 3}$$
D
$${{n\pi } \over 4},2n\pi \pm {\pi \over 6}$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$\sin \theta = {{2t} \over {1 + {t^2}}}$$ and $$\theta$$ lies in the second quadrant, then cos $$\theta$$ is equal to

A
$${{1 - {t^2}} \over {1 + {t^2}}}$$
B
$${{{t^2} - 1} \over {1 + {t^2}}}$$
C
$${{ - |1 - {t^2}|} \over {1 + {t^2}}}$$
D
$${{1 + {t^2}} \over {|1 - {t^2}|}}$$
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The number of solutions of $$2\sin x + \cos x = 3$$ is

A
1
B
2
C
infinite
D
no solution
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