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CUET
-- Mathematics - Section B1
Inverse Trigonometric Functions
If $\tan^{-1}x+\tan^{-1}y=\frac{π}{4}$, then $\cot^{-1}x+\cot^{-1}y=$
$\frac{π}{2}$
$\frac{3π}{4}$
$π$
$\frac{5π}{4}$
$\frac{π}{2}-\cot^{-1}x+\frac{π}{2}-\cot^{-1}y=\frac{π}{4}$
$⇒\cot^{-1}x+\cot^{-1}y=\frac{3π}{4}$