The value of {1-\tan ^{2} 15^{\circ}}/{1+\tan ^{2} 15^{\circ}} is

NIMCET 2011 Question Paper with solutions

Question : 5 of 120

Marks: +1, -0

The value of

\;{1-\tan ^{2} 15^{∘}}/{1+\tan ^{2} 15^{∘}}

Solution:

∴ {1-\tan ^{2} 15^{∘}}/{1+\tan ^{2} 15}= {\cos ^{2} 15^{∘}-\sin ^{2} 15^{∘}}/{\cos ^{2} 15^{∘}+\sin ^{2} 15^{∘}}

= {\cos 30^{∘}}/{1}= {√{3}}/{2}

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