RRB Junior Engineer Stage 1 Model Papers 6

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Question : 22 of 99

Marks: +1, -0

The value of

1/{(1+\tan^2 θ)}+1/{(1+\cot^2 θ)}

is

2
$1/2$
$1/4$
1

Solution:

Expression

=1/{1+\tan^2 θ}+1/{1+\cot^2 θ}=1/{\sec^2 θ}+1/{\cosec^2 θ}

=\cos^2 θ+\sin^2 θ=1

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