Chapter 3
(sin 3x + sin x) sin x + (cos 3x - cos x) cos x = 0
(cos x + cos y)2 + (sin x - sin y)2 = 4 cos 2 2 x y+
(cos x - cos y)2 + (sin x - sin y)2 = 4 sin 2 x y−
sin x + sin 3x + sin 5x + sin 7x = 4 cos x cos 2x sin 4x 6. 6.6. 6.6. (sin 7 sin 5 ) (sin 9 sin 3 ) tan 6(cos 7 cos 5 ) (cos 9 cos 3 )
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sin 3x + sin 2x - sin x = 4sin x cos x 2 cos 3/2 x Find sin x 2 , cos x 2 and tan x 2 in each of the following :
tan x = − 4 3 , x in quadrant II 9. cos x = − 1 3, x in quadrant III
sin x = 4 1 , x in quadrant II