Question

write a quadratic polynomial whose zeroes are sin30 and cos 30

Answer 1

Answer:

We have to find such an polynomial of roots are sin 30 and cos 30 that means whose roots are

$\frac{1}{2} \: and \: \frac{ \sqrt{3} }{2}$

$Sum \: of \: roots (s)= \frac{1 + \sqrt{3} }{2}$

$Product \: of \: roots(p) = \frac{ \sqrt{3} }{4}$

As we know that form of an polynomial whose product of roots and sum of roots are given will be

${x}^{2} - sx + p$

So by putting values of s and p we get the polynomial is:-

${x}^{2} - (\frac{1 + \sqrt{3} }{2} )x + \frac{ \sqrt{3} }{4} </p><p>$

Above polynomial is required polynomial whose roots are sin 30 and cos 30 .

Answer 2

Answer:

Step-by-step explanation: