Mathematics

Problem

Evaluate and compare the following inverse–trigonometric expressions. a. (i) Find the exact values of

A = \arcsin\left(\tfrac{1}{2}\right)

B = \arccos\left(\tfrac{1}{2}\right)

, and

C = \arctan(1)

. b. (ii) Using your answers from part (i), arrange

A

B

, and

C

in ascending order. c. (iii) Verify that the ordering obtained in part (ii) is consistent with the behaviour of the graphs of the respective inverse trigonometric functions.

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