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(a) tan (3x °) = 2 3, (6) (b) 2 sin2 x cos2 x = 9 10 (4) (Total 10 marks) 3 Solve, for 0 ≤ θ <The trigonometric formulas like Sin2x, Cos 2x, Tan 2x are popular as double angle formulae, because they have double angles in their trigonometric functions For solving many problems we may use these widely The Sin 2x formula is \(Sin 2x = 2 sin x cos x\) Where x is the angle Source enwikipediaorg Derivation of the FormulaFormulas from Trigonometry sin 2Acos A= 1 sin(A B) = sinAcosB cosAsinB cos(A B) = cosAcosB tansinAsinB tan(A B) = A tanB 1 tanAtanB sin2A= 2sinAcosA cos2A= cos2 A sin2 A tan2A= 2tanA 1 2tan A sin A 2 = q 1 cosA 2 cos A 2 If Tan X B A Then The Value Of A Cos 2x B Sin 2x Is Formula of cos 2x in terms of tan x

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