Latex coding

example 1: exponents

5^2

Example 2: two digit exponents

5^{-1}

example 3: fractions

\frac{3}{4}

Example 4: change size

\frac{5^2}{3^2}

Example 5: adding trig functions

\tan\theta=\frac{9}{12} \sin30^\circ=\frac{x}{2} x=cos^{-1}(\frac{3/4})

exampl 5: changing color

\frac{3}{4} \frac{3}{4}