If tan 60^\circ = \sqrt3 , then the value of sec 60° is

BPSC 56th-59th Exam Prelims 15 Mar 2015 Solved Paper

Question : 129 of 150

Marks: +1, -0

If tan

60° = √3 ,

then the value of sec 60° is

Solution:

\sec ^{2} θ=1+\tan ^{2} θ

∴ \sec θ=√{1+\tan ^{2} θ}

=√{1+(√{3})^{2}}=√{1+3}=√{4}=2

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