If is the product of the sines of the angles of a triangle

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If pp is the product of the sines of the angles of a triangle, and qq is the product of their cosines, then the tangents of the angles are roots of the equation (1) qx3−px2+(1+q)x−p=0qx^3-px^2+(1+q)x-p=0 (2) px3−qx2+(1+p)x−q=0px^3-qx^2+(1+p)x-q=0 (3) (1+q)x3−px2+qx−p=0(1+q)x^3-px^2+qx-p=0 (4) None of these

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