Chemistry

Problem

Answer the following questions without using a calculator. a. (i) Prove that

\arcsin\left(\tfrac{3}{5}\right) < \arccos\left(\tfrac{3}{5}\right)

. b. (ii) Arrange the three numbers

\arcsin\left(\tfrac{3}{5}\right)

\arccos\left(\tfrac{4}{5}\right)

and

\arctan\left(\tfrac{4}{3}\right)

in descending order, giving clear justification for each step of your reasoning.