What is the value of [1 / (1-\tan \theta)]-[1 / (1+ \tan \theta)]?

SSC CGL Model Paper 14

Question : 69 of 100

Marks: +1, -0

What is the value of

[1 / (1-\tan θ)]-[1 / (1+ \tan θ)]

Solution:

[1 / (1-\tan θ)]-[1 / (1+ \tan θ)]

={1+ \tan θ-1+\tan θ}/{1-\tan^2 θ}

={2\tan θ}/{1-\tan^2θ}=\tan 2θ

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