求值[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
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求值[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
![求值[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]](/uploads/image/z/7767962-26-2.jpg?t=%E6%B1%82%E5%80%BC%5Btan%28-330%29cos%28-570%29cos150sin%28-420%29%5D%2F%5Bcos%28-420%29sin%28-690%29%5D)
[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
=[tan(-360+30)cos(-720+150)cos150sin)]/[cos(-360-60)sin(-720+30)](360度整倍数直接拿出)
=[tan(30)cos(150)cos150sin(-60)]/[cos(-60)sin(30)]
= -[tan(30)cos(30)cos30sin(60)]/[cos(60)sin(30)](sin(-60)为-,cos(-60)为正cos150=-
cos30 ,cos30sin(60)=cos30,cos(60)=sin(30))
=-cos(30)cos30/sin(30)
=(-3/4)/(1/2)
=-3/2
=[tan(-360+30)cos(-720+150)cos150sin)]/[cos(-360-60)sin(-720+30)](360度整倍数直接拿出)
=[tan(30)cos(150)cos150sin(-60)]/[cos(-60)sin(30)]
= -[tan(30)cos(30)cos30sin(60)]/[cos(60)sin(30)](sin(-60)为-,cos(-60)为正cos150=-
cos30 ,cos30sin(60)=cos30,cos(60)=sin(30))
=-cos(30)cos30/sin(30)
=(-3/4)/(1/2)
=-3/2
求值[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
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