1.

The value of tan-1(tan 5)(A) 2π(B) 5 - 2π(C) 5(D) \(\frac{2\pi}{3}\)

Answer»

Answer is (B)

Let 2π – 5 = θ, 

⇒ 5 = 2π – θ tan 5 = tan (2π – θ) 

tan-1 (tan 5) = tan-1 tan (2π – θ) 

= tan-1 [-tan θ] 

= tan-1 [tan (-θ)] = – θ 

= – (2π – 5) = 5 – 2π



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