Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ Question 21: Prove that Solution 21: L.H.S. cos 4x cos3x cos 2x cot 3x sin 4x sin 3x sin 2x cos 4x cos3x cos 2x sin 4x sin 3x sin 2x cos 4x cos 2x cos3x sin 4x sin 2x sin 3x 4x 2x 4x 2x 2cos cos cos3x 2 2 4x 2x 4x 2x 2sin cos sin 3x 2 2 A B A B A B A B cos A cos B 2cos cos ,sin A sin B 2sin cos 2 2 2 2 2cos3xcos cos3x 2sin 3x cos x sin 3x cos3x 2cos x1 sin 3x 2cos x1 cot3x R.H.S. Question 22: Prove that cot cot 2 cot 2 cot3 cot3 cot 1 Solution 22: L.H.S. x x x x x x cot xcot 2x cot 2xcot3x cot3x cot x cot x cot 2x cot 3x cot 2x cot x cot x cot 2x cot 2x x cot 2x cot x cot 2xcot x1 cot x cot 2x cot 2x cot x cot x cot 2x cot AB cot Acot B1 cot A cot B cot x cot 2x cot 2x cot x 1 1 R.H.S. 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 ______________________________________________________________________________ Question 23: Prove that Solution 23: It is known that 2 4tan x 1 tan x tan 4x 2 4 1 6tan x tan x 2 tan A tan 2A 2 1 tan A L.H.S. tan 4x tan 2 2x 2tan 2x 2 1 tan 2x 2 2 tan x 2 1 tan x 2 tan x 1 2 1 tan x 4 tan x 2 1 tan x 2 4 tan x 1 2 1 tan x 2 2 4 tan x 2 1 tan x 1tan x 4 tan 2 2 1 tan x 2 2 2 4 tan x 1 tan 2 x 2 2 2 1tan x 4 tan x x 2 4tan x 1 tan x 4 2 2 1 tan x 2tan x 4tan x 2 4tan x 1 tan x R.H.S. 2 4 16tan xtan x Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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