If sina=4/5 and a is in (90°,180°), find the value of:
A=cosa+sina.tga
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sinA = 4/5
sin²A + cos²A = 1
cos²A = 1 - 16/25 = (25-16)/25
cos²A = 9/25
cosA = 3/5
tanA = sinA/cosA
tanA = (4/5)/(3/5)
tanA = 4/3
Therefore,
cosA+sinA*tanA = 3/5 + 4/5*4/3
= 3/5 + 16/15 = (9+16)/15
= 25/15 = 5/3
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