The positive integral solution of tan−1⁡x+cos−1⁡y1+y2=sin−1⁡310 is

Converting cos and sin into tan, we have,tan−1⁡x+tan−1⁡1y=tan−1⁡31⇒tan−1⁡x+1y1−x1y=tan−1⁡31⇒xy+1y−x=3∴ The equality is true forx = 1, y = 2 and for x = 2, y = 7