(a) A, B,C, D are the four interior angles, taken in order, of a cyclic quadrilateral. Prove that: cot(A) + cot(B) + cot(C) + cot(D) = 0.

(b) If cos(x) + sin(x) = m and sec(x) + cosec(x) = n, prove that n(m^2- 1) = 2m.

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40%=2/550=1/230=3/1056=14/25

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c