已知钝角A满足sinA=cos2A,求tanA3Q

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已知钝角A满足sinA=cos2A,求tanA3Q已知钝角A满足sinA=cos2A,求tanA3Q已知钝角A满足sinA=cos2A,求tanA3QsinA=cos2A=1-2(sinA)^22(s

已知钝角A满足sinA=cos2A,求tanA3Q
已知钝角A满足sinA=cos2A,求tanA
3Q

已知钝角A满足sinA=cos2A,求tanA3Q
sinA=cos2A=1-2(sinA)^2
2(sinA)^2+sinA-1=0
(2sinA-1)(sinA+1)=0
钝角A
sinA=1/2,sinA=-1(舍)
A=150°
tanA=-√3/3