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)]

求值[tan(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
[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(-330)cos(-570)cos150sin(-420)]/[cos(-420)sin(-690)]
=tan(-360+30)cos(-540-30)cos(180-30)sin(-360-60)/cos(-360-60)sin(-720+30)
=tan30 -cos30 -cos30 -sin60/cos60sin30
=-3/2

要过程么

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