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← JEE Main 2014 · 19 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 89 of 90

JEE Main 2014 · 19 Apr · Shift 1, Mathematics question 89

The principal value of tan⁡−1(cot⁡43π4)\tan^{-1}\left(\cot\dfrac{43\pi}4\right) is :

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Answer and worked solution

Official answer: C

cot⁡43π4=cot⁡(10π+3π4)=cot⁡3π4=−1\cot\frac{43\pi}4=\cot\left(10\pi+\frac{3\pi}4\right)=\cot\frac{3\pi}4=-1, and tan⁡−1(−1)=−π4\tan^{-1}(-1)=-\dfrac\pi4.

Topics:Inverse trigonometric functions
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