1
WB JEE 2008
+1
-0.25

The equation $$\sqrt 3 \sin x + \cos x = 4$$ has

A
infinitely many solutions
B
no solution
C
two solutions
D
only one solution
2
WB JEE 2008
+1
-0.25

If $$\tan \left( {{{\alpha \pi } \over 4}} \right) = \cot \left( {{{\beta \pi } \over 4}} \right)$$ then

A
$$\alpha$$ + $$\beta$$ = 0
B
$$\alpha$$ + $$\beta$$ = 2n
C
$$\alpha$$ + $$\beta$$ = 2n + 1
D
$$\alpha$$ + $$\beta$$ = 2(2n + 1), n is an integer.
3
WB JEE 2008
+1
-0.25

The principal value of $${\sin ^{ - 1}}\tan \left( { - {{5\pi } \over 4}} \right)$$ is

A
$${\pi \over 4}$$
B
$$- {\pi \over 4}$$
C
$${\pi \over 2}$$
D
$$- {\pi \over 2}$$
4
WB JEE 2008
+1
-0.25

The value of $$\cos {\pi \over {15}}\cos {{2\pi } \over {15}}\cos {{4\pi } \over {15}}\cos {{8\pi } \over {15}}$$ is

A
$${1 \over {16}}$$
B
$$-$$$${1 \over {16}}$$
C
1
D
0
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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