$cosec 10°-4 \sin 70°=$

The value of $\frac{{\displaystyle \frac{1+{\sin }^2(\theta +16)}{1+{\sin }^2(\theta +31)}\times \frac{{\cos }^2(\theta +46)+{\cos }^2(\theta +16)}{\cos e{c}^2(\theta +76)+\cos e{c}^2(\theta +76)}}}{\sin (\theta +46)\times \tan (\theta +46)}$

where $\theta =14°$ is.

The value of the expression $\mathrm{cosec} \left({75}^{\mathrm{o}}+\mathrm{\theta }\right)-\sec ({15}^{\mathrm{o}}-\mathrm{\theta })-\tan ({55}^{\mathrm{o}}+\mathrm{\theta })+\cot ({35}^{\mathrm{o}}-\mathrm{\theta })$ is -

If $\sin \theta +\cos \theta =\mathrm{P}$ and $\sec \mathrm{\theta }+\mathrm{cosec} \mathrm{\theta }=\mathrm{Q}$, then find the value of $\mathrm{Q}\left({\mathrm{P}}^2-1\right)$ .