Which of the following angles is greater ?
`theta_(1) = sin^(-1).(4)/(5) + sin^(-1).(1)/(3) and theta_(2) = cos^(-1).(4)/(5) + cos^(-1).(1)/(3)`

Explanation

To determine which of the angles \( \theta_1 \) and \( \theta_2 \) is greater, we start with the definitions provided in the question:

\[ \theta_1 = \sin^{-1}\left(\frac{4}{5}\right) + \sin^{-1}\left(\frac{1}{3}\right) \]
\[ \theta_2 = \cos^{-1}\left(\frac{4}{5}\right) + \cos^{-1}\left(\frac{1}{3}\right) \]
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