Prove that ${\left(\mathrm{sinA}+\mathrm{cosecA}\right)}^2+{\left(\mathrm{cosA}+\mathrm{secA}\right)}^2=7+{\tan }^2\mathrm{A}+{\cot }^2\mathrm{A}$

$\cos 60°+\sin 30°$ value is _____

If $\mathrm{secA}+\mathrm{tanA}=\frac{1}{5}$, then $\mathrm{secA}-\mathrm{tanA}=$_____

Reciprocal of $\tan \theta$ is _____

$\left({\sec }^2\mathrm{\theta }-1\right)\left({\mathrm{cosec}}^2\mathrm{\theta }-1\right)=$_____

$\sin \left(90-A\right)=\frac{1}{2}$, then $A=$_____