\({\left(\tan^{-1} \left(a \bmod \left({e}^{\left(\log \left(\sin^{-1} a\right)\right)}\right)\right)\right)}^{\left({a}^2\right)}\)
- Started with
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
15.3
- Applied simplify to get
\[\color{red}{{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}} \leadsto \color{blue}{{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left({a}^2\right)}}\]
15.3
- Using strategy
rm 15.3
- Applied add-exp-log to get
\[{\left(\tan^{-1} \left(a \bmod \color{red}{\left(\sin^{-1} a\right)}\right)\right)}^{\left({a}^2\right)} \leadsto {\left(\tan^{-1} \left(a \bmod \color{blue}{\left(e^{\log \left(\sin^{-1} a\right)}\right)}\right)\right)}^{\left({a}^2\right)}\]
0.8
- Using strategy
rm 0.8
- Applied pow1 to get
\[{\left(\tan^{-1} \left(a \bmod \left(e^{\log \color{red}{\left(\sin^{-1} a\right)}}\right)\right)\right)}^{\left({a}^2\right)} \leadsto {\left(\tan^{-1} \left(a \bmod \left(e^{\log \color{blue}{\left({\left(\sin^{-1} a\right)}^{1}\right)}}\right)\right)\right)}^{\left({a}^2\right)}\]
0.8
- Applied log-pow to get
\[{\left(\tan^{-1} \left(a \bmod \left(e^{\color{red}{\log \left({\left(\sin^{-1} a\right)}^{1}\right)}}\right)\right)\right)}^{\left({a}^2\right)} \leadsto {\left(\tan^{-1} \left(a \bmod \left(e^{\color{blue}{1 \cdot \log \left(\sin^{-1} a\right)}}\right)\right)\right)}^{\left({a}^2\right)}\]
0.8
- Applied exp-prod to get
\[{\left(\tan^{-1} \left(a \bmod \color{red}{\left(e^{1 \cdot \log \left(\sin^{-1} a\right)}\right)}\right)\right)}^{\left({a}^2\right)} \leadsto {\left(\tan^{-1} \left(a \bmod \color{blue}{\left({\left(e^{1}\right)}^{\left(\log \left(\sin^{-1} a\right)\right)}\right)}\right)\right)}^{\left({a}^2\right)}\]
0.6
- Applied simplify to get
\[{\left(\tan^{-1} \left(a \bmod \left({\color{red}{\left(e^{1}\right)}}^{\left(\log \left(\sin^{-1} a\right)\right)}\right)\right)\right)}^{\left({a}^2\right)} \leadsto {\left(\tan^{-1} \left(a \bmod \left({\color{blue}{e}}^{\left(\log \left(\sin^{-1} a\right)\right)}\right)\right)\right)}^{\left({a}^2\right)}\]
0.6