Find the derivative of \( \frac{\sin \theta}{\cos \theta} \)

Simplify \(\frac{3\frac{2}{3}\times\frac{5}{6}\times\frac{2}{3}}{\frac{11}{15}\times\frac{3}{4}\times\frac{2}{27}}\)

If 2q35 = 778, find q

If the numbers M, N, Q are in the ratio 5:4:3, find the value of \( \frac{2N-Q}{M} \)

Rationalize \( \frac{2-\sqrt{5}}{3-\sqrt{5}} \)

Simplify \( \left(\frac{16}{81}\right)^{\frac{1}{4}} \div \left(\frac{9}{16}\right)^{-\frac{1}{2}} \)

If log318 + log33 - log3x = 3, Find x.

Simplify \(\left(\sqrt{2}+\frac{1}{\sqrt{3}}\right)\left(\sqrt{2}-\frac{1}{\sqrt{3}}\right)\)

A man invested ₦5,000 for 9 months at 4%. What is the simple interest?