Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ 1 1 2cos x cos y 2sin x sin y 2 4 4 2 4 4 1 cos x y cos x y 2 4 4 4 4 1 cos x y cos x y 2 4 4 4 4 1 2 cos x y 2 4 4 cos x y 4 sin x y = R.H.S. 2cos Acos B cos A B cos A B 2sin Asin B cos A B cos A B Question 7: Prove that Solution 7: tan x 4 1 tan x 1 tan x tan x 4 It is known that tan A B and A B 2 tan A tan B tan A tan B 1tan A tan B 1tan Atan B tan tan x 4 1 tan x tan x 1 tan tan x 2 4 4 1 tan x 1 tan x L.H.S. R.H.S. 1 tan x tan tan 1 tan x tan x x 4 4 1 tan x 1 tan tan 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 ______________________________________________________________________________ Question 8: Prove that Solution 8: L.H.S. cos x cos x cot sin x cos x 2 xcos x cos sin xcos x 2 cos xcos x sin xsin x cos sin 2 2 2 cot x = R.H.S. x x 2 x Question 9: 3 3 cos xcos 2 x cot x cot 2 x 1 2 2 Solution 9: L.H.S. = 3 cos cos 2 cot 3 x x x cot 2 x 2 2 sin x cos x tan x cot x sin x cos x sin xcos x cos x sin x 2 2 sin x cos x sin xcos x sin xcos x = 1 = R.H.S. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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