Question Number 2 Let P(x) be a polynomial with real coefficients such that P(sin2 ) P(cos2 x)...
23 views · Published 12 October 2018 · 0:12 · Indexed 28 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Question Number 2 Let P(x) be a polynomial with real coefficients such that P(sin2 ) P(cos2 x). for all re [0, ?/2]. Consider the following statements: I. P(x) is an even function II. P(x) can be expressed as a polynomial in (2x - 1)2. III. P(x) is a polynomial of even degree Then Bonly I and II are tue D. all are true A. all are false C only II and III are true
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