Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ 21 cos x y 2 x y 2 2 1 1 2sin cos 2A1 2sin A 2 2 4sin x y R.H.S 2 Question 5: Prove that: sin sin3 sin5 sin7 4cos cos2 sin 4 Solution 5: x x x x x x x A B A B A B 2 2 It is known that sin sin 2sin.cos L.H.S. sin x sin3x sin5x sin7x sin x sin 5x sin 3x sin 7x x 5x x 5x 3x 7x 3x 7x 2sin .cos 2sin cos 2 2 2 2 2sin 3x cos 2x 2sin 5x cos 2x 2sin3x cos2x 2sin5x cos2x 2cos 2x sin 3x sin 5x 3x 5x 3x 5x 2cos 2x 2sin .cos 2 2 2cos 2x 2sin 4 x.cos x 4cos2x sin 4xcos x R.H.S. Question 6: Prove that: Solution 6: It is known that sin 7x sin 5x sin 9x sin 3x cos7x cos5x cos9x cos3x tan 6x A B A B A B A B sin A sin B 2sin .cos ,cos A cos B 2cos .cos 2 2 2 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ L.H.S. sin 7x sin 5x sin 9x sin 3x cos7x cos5x cos9x cos3x 7x 5x 7x 5x 9x 3x 9x 3x 2sin .cos 2sin .cos 2 2 2 2 7x 5x 7x 5x 9x 3x 9x 3x 2cos .cos 2cos .cos 2 2 2 2 2sin 6 x.cos x2sin 6 x.cos3x 2cos6 x.cos x2cos6 x.cos6x 2sin 6x cos x cos3x 2cos6x cos x cos3x tan 6x R.H.S Question 7: Prove that: Solution 7: L.H.S. x 3x sin 3x sin 2x sin x 4sin xcos cos 2 2 sin3x sin 2x sin x 2x x 2x x A B A B sin3x 2cos sin sin Asin B 2cos sin 2 2 2 2 3x x sin3x 2cos sin 2 2 3x x sin 3x 2cos sin 2 2 3x 3x 3x x 2sin .cos 2cos sin sin 2A 2sin A.cos B 2 2 2 2 3x 3x x 2cos sin sin 2 2 2 3x x 3x x 3x 2 2 2 2 2cos 2sin cos 2 2 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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