Identify "Hypotenuse", "opposite side", and "Adjacent side" for the angle $R$ in the given triangle.

Identify "Hypotenuse", "opposite side", and "Adjacent side" for the angle $X$ in the given triangle.

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

If in a right angled triangle $ABC,\angle B$ is a right angle; then find the value of $\sin A,\cos C$ and $\tan A$.

Given $AC=5 \mathrm{cm},AB=3 \mathrm{cm},BC=4 \mathrm{cm}$.