Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ x 2n 1 or x 2 n , where n Z 4 3 Question 7: Find the general solution of the equation sin 2xcos x 0 . Solution 7: sin 2xcos x0 2sin x cos x cos x 0 cos x 2sin x1 0 cos x 0 or 2sin x1 0 Now, cos x 0 cos x 2n 1 , where n Z 2 2sin x 10 1 7 sin x sin sin sin sin 2 6 6 6 6 n 1 7 x n , where n Z 6 Therefore, the general solution is 2n 1 2 n 1 , n Z . 6 n or 7 Question 8: Find the general solution of the equation Solution 8: 2 sec 2x1tan 2 x 2 1 tan 2x1 tan 2 2 tan 2x tan 2x 0 tan 2x tan 2x1 0 tan 2x 0 or tan 2x1 0 tan 2x 0 Now, tan 2x tan 0 , where n Z n x , where n Z 2 tan 2x 1 0 2x n 0 x 2 sec 2x1tan 2 x 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 ______________________________________________________________________________ 3 tan 2x 1 tan tan tan 4 4 4 3 2 x n , where n Z 4 n 3 x , where n Z 2 8 Therefore, the general solution is n n 3 or , nZ 2 2 8 Question 9: Find the general solution of the equation sin sin3 sin5 0 Solution 9: sin x sin3x sin5x 0 sin x sin 5x sin 3x 0 x 5x x 5x 2sin cos sin3x 0 2 2 2sin 3x cos 2x sin 3x 0 2sin 3x cos 2x sin 3x 0 sin 3x 2cos 2x1 0 sin 3x 0 or 2cos 2x1 0 Now, sin 3 0 3, where n i.e., x , where n Z 3 2cos2x 10 x x n n Z 1 cos 2x cos cos 2 3 3 2 cos 2x cos 3 x x x A B A B sin A sin B 2sin cos 2 2 2 2x 2 n , where n Z 3 x n , where n Z 3 Therefore, the general solution is n or n , n Z 3 3 . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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