Question

Find the quadratic equations whose roots are tan45 , cot45 respectively .

Answer 1

tan45=1
cot45=1

So ,

Sum of roots = 1+1=2
Product of roots =1*1=1

So ,we know quadratic equations whose roots are a,b is x²-(a+b)x+ab =.

So now quadratic equations whose roots are tan45° cot45° is x²-(2)x+1 =0

x²-2x+1=0

hope helped !

Answer 2

heya !!!

here's your answer:

consider the given pic above for your solution.

the answer is - x^2 - 2x + 1.

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hope helped !!☺☺