Which is correct?(a) sin 3x = 3sinx – 4sin^3x(b) sin 3x = 4sinx – 3sin^3x(c) sin 3x = 3sin^3x – 4sinx(d) sin 3x = 4sin^3x – 3sinxThis question was addressed to me in an online quiz.The query is from Trigonometric Functions of Sum and Difference of Two Angles-2 topic in chapter Trigonometric Functions of Mathematics – Class 11

Which is correct?(a) sin 3x = 3sinx – 4sin^3x(b) sin 3x = 4sinx –

1.	Which is correct?(a) sin 3x = 3sinx – 4sin^3x(b) sin 3x = 4sinx – 3sin^3x(c) sin 3x = 3sin^3x – 4sinx(d) sin 3x = 4sin^3x – 3sinxThis question was addressed to me in an online quiz.The query is from Trigonometric Functions of Sum and Difference of Two Angles-2 topic in chapter Trigonometric Functions of Mathematics – Class 11
Answer» The CORRECT option is (a) SIN 3x = 3sinx – 4sin^3x Explanation: sin 3x = sin (2x + x) = sin 2x cos x + cos 2x sin x = (2 sin x cos x) cos x + (1 – 2sin^2 x) sin x = 2 sin x (1 – sin^2 x) + sin x – 2 sin^3 x = 2 sin x – 2 sin^3 x + sin x – 2 sin^3 x = 3 sin x – 4 sin^3 x.

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