Hello-please-show-it-a-0-pi-4-a-tan-a-2a-

Question Number 162326 by stelor last updated on 28/Dec/21

H e l l o p l e a s e s h o w i t \dots

a \in [0, \frac{π}{4}] a ⩽ t a n a ⩽ 2 a

Answered by mindispower last updated on 28/Dec/21

1 ⩽ 1 + {t g}^{2} (a) ⩽ 2, \forall a \in [0, \frac{π}{4}]

\int_{0}^{x} 1 d a ⩽ \int_{0}^{x} (1 + {t g}^{2} (a)) d a ⩽ 2 \int_{0}^{x} d a

\Leftrightarrow x ⩽ t g (x) ⩽ 2 x

Commented by stelor last updated on 28/Dec/21

t h a n k s . .

Commented by mindispower last updated on 28/Dec/21

p l e a s u r s i r