If and are the roots of

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If sec⁡α\sec \alpha and cosec⁡α\operatorname{cosec} \alpha are the roots of x2−px+q=0x^2 - px + q = 0 , then show p2=q(q+2)p^2 = q(q+2) .

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