Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ Question 24: Prove that: Solution 24: L.H.S. cos4x cos 2 2x cos 4 1 8sin cos 2 2 x x x 2 2 1 2sin 2x cos 2A 1 2sin A x x 2 A A A 1 2 2sin cos sin 2 2sin cos 2 18sin x R.H.S. 2 cos x Question 25: Prove that: Solution 25: L.H.S. 6 4 2 cos6x 32x cos x 48cos x 18cos x 1 cos6x cos3 2x 3 3 4cos 2x 3cos 2x cos3A 4cos A3cos A 2 3 2 2 4 2cos x 1 3 2cos x 1 cos2x 2cos x 1 3 3 2 2 2 2 2 4 2cos x 1 3 2cos x 3 2cos x 6cos x 3 6 4 2 2 4 8cos x 1 12cos x 6cos x 6cos x 3 6 4 2 2 32cos x 4 48cos x 24cos x 6cos x 3 6 4 32cos x 48cos x 18 R.H.S. 2 cos x 1 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 ______________________________________________________________________________ Exercise 3.4 Question 1: Find the principal and general solutions of the question Solution 1: tan x 3 It is known that tan 3 and 3 Therefore, the principal solutions are Now, tan x tan 3 tan x 3 4 tan tan tan 3 3 3 3 x 3 and 4 3 . . x n , 3 where n Z Therefore, the general solution is xn , 3 where n Z . Question 2: Find the principal and general solutions of the equation sec 2 Solution 2: sec x 2 3 It is known that sec 2 and Therefore, the principal solutions are Now, sec sec 3 x 1 cos x cos sec x 3 cos x 2 n , 3 where n Z . Therefore, the general solution is x 5 sec sec2 sec 2 3 3 3 x 3 and 5 . 3 x 2n 3 , where n Z . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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