1
IIT-JEE 1995 Screening
+2
-0.5
The general values of $$\theta$$ satisfying the equation $$2{\sin ^2}\theta - 3\sin \theta - 2 = 0$$ is
A
$$n\pi + {\left( { - 1} \right)^n}\pi /6$$
B
$$n\pi + {\left( { - 1} \right)^n}\pi /2$$
C
$$n\pi + {\left( { - 1} \right)^n}5\pi /6$$
D
$$n\pi + {\left( { - 1} \right)^n}7\pi /6$$
2
IIT-JEE 1994
+2
-0.5
Let $$0 < x < {\pi \over 4}$$ then $$\left( {\sec 2x - \tan 2x} \right)$$ equals
A
$$\tan \left[ {x - {\pi \over 4}} \right]$$
B
$$\tan \left[ {{\pi \over 4} - x} \right]$$
C
$$\tan \left[ {x + {\pi \over 4}} \right]$$
D
$${\tan ^2}\left[ {x + {\pi \over 4}} \right]$$
3
IIT-JEE 1994
+2
-0.5
Let $$n$$ be a positive integer such that $$\sin {\pi \over {2n}} + \cos {\pi \over {2n}} = {{\sqrt n } \over 2}.$$ Then
A
$$6 \le n \le 8$$
B
$$4 < n \le 8$$
C
$$4 \le n \le 8$$
D
$$4 < n < 8$$
4
IIT-JEE 1994
+2
-0.5
If $$\omega \,$$ is an imaginary cube root of unity then the value of $$\sin \left\{ {\left( {{\omega ^{10}} + {\omega ^{23}}} \right)\pi - {\pi \over 4}} \right\}$$ is
A
$$- {{\sqrt 3 } \over 2}\,$$
B
$$- {1 \over {\sqrt 2 }}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${{\sqrt 3 } \over 2}$$
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