Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ Question 10: Prove that Solution 10: L.H.S. sin n 1 xsin n 2 x cos n 1 x cos n 2 x cos x sin n 1 xsin n 2 x cos n 1 x cos n 2 x 1 2sin n 1 x sin n 2 x 2cos n 1 x cos n 2 x 2 n x n x cis n x n x n x n x n x n x 1 cos 1 2 1 2 2 cos 1 2 cos 1 2 2sin Asin B cos A B cos A B 2cos Acos B cos A B cos A B 1 2cos n 1 x n 2 x 2 cos x cos x R.H.S. Question **11**: Prove that Solution **11**: 3 3 cos x cos x 2 sin x 4 4 A B A B A B 2 2 It is known that cos cos 2sin.sin 3 3 L.H.S. cos x cos x 4 4 3 3 3 3 x x x x 4 4 4 4 2sin .sin 2 2 3 2sin sin x 4 2sin sin x 4 2sin sin x 4 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 ______________________________________________________________________________ 1 2 sin x 2 2 sin x = R.H.S. Question 12: Prove that Solution 12: It is known that 2 2 sin 6 sin 4 sin 2 sin10 x x x x A B A B A B A B sin A sin B 2sin cos , sin A sin B 2cos sin 2 2 2 2 2 2 L.H.S. sin 6x sin 4 sin 6x sin 4xsin 6x sin 4x x 6x 4x 6x 4x 6x 4x 6x 4x 2sin cos 2cos .sin 2 2 2 2 2sin 5x cos x2cos5xsin x 2sin 5x cos5x2sin x cos x sin10xsin 2x = R.H.S. Question 13: Prove that Solution 13: It is known that 2 2 cos 2 cos 6 sin 4 sin8 x x x x A B A B A B A B cos A cos B 2cos cos , cos A cos B 2sin sin 2 2 2 2 2 2 L.H.S. cos 2x cos 6 cos 2x cos 6xcos 2x 6x x 2x 6x 2x 6x 2x 6x 2x 6x 2cos cos 2sin sin 2 2 2 2 2cos 4xcos 2x 2sin 4xsin 2x 2cos 4xcos 2x 2sin 4x sin 2x Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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