If 2 cos. theta = a + 1/a prove that one of the values of (i)...

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If 2 cos. theta = a + 1/a prove that one of the values of (i) ab + 1 / ab (ii) a^p b^q + 1/ a^p b^q is 2 cos (p.theta + q.theta) 1 2 cos = b + is 2 cos (pe+q0) (b) If 2 cos 0 = x + cos ne cos (n-1)0 1 I, prove that x x2 +1 2n 2n-1 x + Xx (c) If x - 2x cos 0 + 1 = 0, show that x - 2x" cos ne + 1 = 0. If 2 cos. theta = a + 1/a prove that one of the values of (i) ab + 1 / ab (ii) a^p b^q + 1/ a^p b^q is 2 cos (p.theta + q.theta) 1 2 cos = b + is 2 cos (pe+q0) (b) If 2 cos 0 = x + cos ne cos (n-1)0 1 I, prove that x x2 +1 2n 2n-1 x + Xx (c) If x - 2x cos 0 + 1 = 0, show that x - 2x" cos ne + 1 = 0.

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