Question

demonstrati inegalitatea arcsin 1/2 < arctg 1

Answer 1

Explicație pas cu pas:

arcsin1/2=π/6

arctg 1=π/4

arcsin 1/2 < arctg 1 ⇒ π/6<π/4 |*1/π⇒1/6<1/4⇒4/6*4<6/4*6⇒

⇒4/24<6/24 |*24 ⇒4<6

Bafta!