COS sino cos Ꮎ cos’Ocosa = cos²0-sin’a sin’a = cos?o-cos’oc sin a = cos’o(1-cosa) => 1-cos’a cos’o(1 -ca = (1 + cosa) (1 - cosa) = cos 0 (1 - cosa) l cos 0 = 1+ = 7 >> 13. If o is not an integral multiple of then prove that 2 tan 6 + 2 tan 20 + 4 tan 40 + 8 cot 80 = coto 0 1. We know that cot A-tanA = 2cot2A tan A = cot A LHS tan 0 + 2 tan 20 + 4 tan 40 + 8 cot 80 = (cot 0 - 2 cot 20)+2(cot 20 - 2cot 40)+4(cot 40 - 2 cot cot 0 - 2cot 20 + 2 cot 26 - 4cot 40 + 4 cot 40 - 8cot cot O RHS wo If A is not an integral NC
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