in a right angle triangle abc,right angled at b,if sin a= 1/2 then verify 2sin(3a/2) x cos(3a/2)=1
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sin a = 1/2
sin 30° = 1/2
therefore a = 30°
2sin(3a/2) = 2sin(30*3/2) = 2 sin 45°
similarly, cos(3a/2) = cos 45°
sin 45° = cos 45° = 1/√2
2*1/√2*1/√2= 2*1/2= 1
hence proved.
sin 30° = 1/2
therefore a = 30°
2sin(3a/2) = 2sin(30*3/2) = 2 sin 45°
similarly, cos(3a/2) = cos 45°
sin 45° = cos 45° = 1/√2
2*1/√2*1/√2= 2*1/2= 1
hence proved.
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