Find the minimum value the following expression case have\tan^2 1^\circ + \tan^2 3^\circ + \tan^2 5^\circ + \tan^2 87^\circ +\tan^2 89^\circ=?

SSC CGL Model Paper 3

Question : 67 of 100

Marks: +1, -0

Find the minimum value the following expression case have

\tan^2 1° + \tan^2 3° + \tan^2 5° + \tan^2 87°

+\tan^2 89°=?

Solution:

Min. value of -

a\tan^2θ+b\cot^2θ =2√{ab}

(\tan^2 1 + \tan^2 89) × 22 + \tan^2 45°

2 √{1+1} ×22 + 1 = 45

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