First slide

Introduction to ITF

Question

The greatest of $T a n^{- 1} 1, \sin^{- 1} 1, \sin 1, \cos 1$ is

Moderate

A

$\sin 1$
B

$\cos 1$
C

$T a n^{- 1} 1$
D

$\sin^{- 1} 1$

Solution

$W e h a v e \frac{1}{2} < \cos 1, \sin 1 < \frac{\sqrt{3}}{2} w h i c h a r e l e s s t h a n 1 . (w h e r e 1 \approx 57^{°} . 16^{'}) A l s o \tan^{- 1} 1 = \frac{π}{4} < 1 a n d \sin^{- 1} 1 = \frac{π}{2} > 1 ∴ \sin^{- 1} 1 i s t h e g r e a t e s t o f t h e g i v e n v a l u e s .$

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