Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ Question 3: Find the principal and general solutions of the equation cot 3 Solution 3: cot x 3 It is known that cot 3 6 5 cot 3 6 x cot cot 3 and cot 2 cot 3 6 6 6 6 **11** i.e., and cot 3 6 Therefore, the principal solutions are Now, 5 cot x cot 6 5 tan x tan 6 5 x n , 6 where n Z Therefore, the general solution is x x n 5 6 5 6 and **11** 6 1 cot x tan x , where n Z . . Question 4: Find the general solution of cosec 2 Solution 4: cosec x 2 It is known that cosec 2 6 x cosec cosec 2 and cosec 2cosec 2 6 6 i.e., 7 cosec 2 6 and **11** cosec 2 6 Therefore, the principal solutions are Now, 7 cosec x cosec 6 7 x and 6 6 6 **11** 6 . 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 ______________________________________________________________________________ 7 1 sin x sin cosec x 6 sin x n 1 7 x n , 6 where n Z Therefore, the general solution is n 1 7 x n , 6 where n Z . Question 5: Find the general solution of the equation cos4 cos2 Solution 5: cos4x cos2x cos 4x cos 2x 0 4x 2x 4x 2x 2sin sin 0 2 2 A B A B cos A cos B 2sin sin 2 2 sin 3xsin x0 x sin 3x 0 or sin 0 3x n or sin x 0 3x n or x n, where n Z n x or x n , where n Z 3 x x Question 6: Find the general solution of the equation cos3 cos cos2 0 Solution 6: cos3x cos x cos2x 0 3x 2 3x x 2cos cos cos 2x 0 2 2 2cos 2x cos x cos 2x 0 cos 2x 2cos x1 0 cos 2x 0 or 2cos x1 0 1 cos 2x 0 or cos x 2 x x x 2x 2n 1 or cos x cos , where n Z 2 3 A B A B cos A cos B 2cos cos 2 2 . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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