1
IIT-JEE 1988
MCQ (Single Correct Answer)
+2
-0.5
The value of the expression $$\sqrt 3 \,\cos \,ec\,{20^0} - \sec \,{20^0}$$ is equal to
A
2
B
$$2\sin {20^0}/\sin {40^0}$$
C
4
D
$$4\sin {20^0}/\sin {40^0}$$
2
IIT-JEE 1987
MCQ (Single Correct Answer)
+2
-0.5
The number of all possible triplets $$\left( {{a_1},\,{a_2},\,{a_3}} \right)$$ such that $${a_1} + {a_2}\,\,\cos \left( {2x} \right) + {a_3}{\sin ^2}\left( x \right) = 0\,$$ for all $$x$$ is
A
zero
B
one
C
three
D
infinite
3
IIT-JEE 1986
MCQ (Single Correct Answer)
+2
-0.5
The expression $$2\left[ {{{\sin }^6}\left( {{\pi \over 2} + \alpha } \right) + {{\sin }^6}\left( {5\pi - \alpha } \right)} \right]$$ is equal to
A
0
B
1
C
3
D
$$\sin \,4\,\alpha + \cos \,6\,\alpha \,\,\,\,$$
4
IIT-JEE 1984
MCQ (Single Correct Answer)
+3
-0.75
$$\left( {1 + \cos {\pi \over 8}} \right)\left( {1 + \cos {{3\pi } \over 8}} \right)\left( {1 + \cos {{5\pi } \over 8}} \right)\left( {1 + \cos {{7\pi } \over 8}} \right)$$ is equal to
A
$${1 \over 2}$$
B
$$\cos {\pi \over 8}$$
C
$${1 \over 8}$$
D
$${{1 + \sqrt 2 } \over {2\sqrt 2 }}$$
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