Question
$ \sin^{-1}\text{x}+\cos^{1}\text{x}= $
- $ \frac{π}{2}$
- π
- π3
- 2π
solution:
$ \sin-1\text{x}+\cos-1\text{x}=π2; \text{x} ∈ [-1,1] $
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$\alpha \log _{\mathrm{e}}|1+\tan \mathrm{x}|+\beta \log _{\mathrm{c}}\left|1-\tan \mathrm{x}+\tan ^{2} \mathrm{x}\right|+\gamma \tan ^{-1}\left(\frac{2 \tan \mathrm{x}-1}{\sqrt{3}}\right)+\mathrm{C}$
when $\mathrm{C}$ is constant of integration, then the value of $18\left(\alpha+\beta+\gamma^{2}\right)$ is .... .