In 1579, the eminent French mathematician Francois Viete discovered the formulaFind how th...

In 1579, the eminent French mathematician Francois Viete discovered the formula

Find how this formula may be derived using the procedure which follows,

(a) Show, by the algebraic device of "rationalizing the denominator" that

and

(b) Generalize the results in (a) and show that

Thus

(c) Derive Viete's expression.