Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively