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cos a = 4/5
sin 1/2a= √[(1 - cos a)/2]
= √[(1 - 4/5)/2]
= √[1/5/2|
= √1/10
cos 1/2a = √[(1 + cos a)/2]
= √[(1 + 4/5)/2]
= √[(9/5)/2|
= √9/10
tan 1/2a = √1/10
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√9/10
= √1/9
= 1/3