KVPY SX SB Exam 2018 Question Paper

Question : 8 of 120

Marks: +1, -0

Let a = cos 1° and b = sin 1°. We say that a real number is algebraic if it is a root of a polynomial with integer coefficients. Then

Solution:

\cos 1° = p + √q (p, q ∈ Q)

then it will be root of a quadratic equation whose other root is

p -√q

⇒ cos 1° is algebraic
⇒ sin 1° is algebraic

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