The value of sin⁡cot−1⁡cos⁡tan−1⁡1,is

sin⁡cot−1⁡cos⁡tan−1⁡1=sin⁡cot−1⁡cos⁡π4 ∵tan−1⁡1=π4=sin⁡cot−1⁡12=sin⁡sin−1⁡23=23=23∵cot−1⁡12=sin−1⁡23