The Total solution for NCERT class 6-12
Prove that:
(i) tan-1{(1 – x2)/ 2x)} + cot-1{(1 – x2)/2x)} = π/2
(ii) sin {tan-1 (1 – x2)/ 2x) + cos-1 (1– x2)/ (1 + x2)} = 1
(i) Given tan-1{(1– x2)/ 2x)} + cot-1{(1 – x2)/ 2x)} = π/2
Hence, proved.
(ii) Given sin {tan-1 (1– x2)/ 2x) + cos-1 (1 – x2)/ (1 + x2)}