1

IIT-JEE 1994

If we consider only the principle values of the inverse trigonometric functions then the value of
$$\tan \left( {{{\cos }^{ - 1}}{1 \over {5\sqrt 2 }} - {{\sin }^{ - 1}}{4 \over {\sqrt {17} }}} \right)$$ is
A
$${{\sqrt {29} } \over 3}$$
B
$${{29} \over 3}$$
C
$${{\sqrt 3 } \over {29}}$$
D
$${3 \over {29}}$$
2

IIT-JEE 1986

The principal value of $${\sin ^{ - 1}}\left( {\sin {{2\pi } \over 3}} \right)$$ is
A
$${ - {{2\pi } \over 3}}$$
B
$${{{2\pi } \over 3}}$$
C
$${{{4\pi } \over 3}}$$
D
none
3

IIT-JEE 1983

The value of $$\tan \left[ {{{\cos }^{ - 1}}\left( {{4 \over 5}} \right) + {{\tan }^{ - 1}}\left( {{2 \over 3}} \right)} \right]$$ is
A
$${{6 \over 17}}$$
B
$${{7 \over 16}}$$
C
$${{16 \over 7}}$$
D
none

Joint Entrance Examination

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