Let `alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/(15))` then `cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma` `tanalphatanbeta+tanbetatangamma+tanalphatangamma=1` `tanalpha+tanbeta+tangamma=tanalphatanbetatangamma` `cotalphacotbeta+cotbetacotgamma+cotalphacotgamma=1`

Explanation

To solve the given problem, we need to evaluate the expressions involving the angles \( \alpha \), \( \beta \), and \( \gamma \) defined as follows:

- \( \alpha = \sin^{-1}\left(\frac{36}{85}\right) \)
- \( \beta = \cos^{-1}\left(\frac{4}{5}\right) \)
- \( \gamma = \tan^{-1}\left(\frac{8}{15}\right) \)

We will verify each of the four statements provided in the question.

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