<Dl> <Dd> sinh ⁡ (x 2) = sinh ⁡ (x) 2 (cosh ⁡ (x) + 1) = sgn ⁡ (x) cosh ⁡ (x) − 1 2 (\ displaystyle \ sinh \ left ((\ frac (x) (2)) \ right) = (\ frac (\ sinh (x)) (\ sqrt (2 (\ cosh (x) + 1)))) = \ operatorname (sgn) (x) \, (\ sqrt (\ frac (\ cosh (x) - 1) (2)))) </Dd> </Dl> <Dd> sinh ⁡ (x 2) = sinh ⁡ (x) 2 (cosh ⁡ (x) + 1) = sgn ⁡ (x) cosh ⁡ (x) − 1 2 (\ displaystyle \ sinh \ left ((\ frac (x) (2)) \ right) = (\ frac (\ sinh (x)) (\ sqrt (2 (\ cosh (x) + 1)))) = \ operatorname (sgn) (x) \, (\ sqrt (\ frac (\ cosh (x) - 1) (2)))) </Dd> <P> where sgn is the sign function . </P> <Dl> <Dd> cosh ⁡ (x 2) = cosh ⁡ (x) + 1 2 (\ displaystyle \ cosh \ left ((\ frac (x) (2)) \ right) = (\ sqrt (\ frac (\ cosh (x) + 1) (2)))) </Dd> </Dl>

What is the difference between sin and sinh