cosπ|3-tanπ|4+3|4tan²;π|6+cos²;π|6-sinπ|4

cosπ|3-tanπ|4+3|4tan²;π|6+cos²;π|6-sinπ|4


cosπ/3-tanπ/4+3/4tan2π/6-sinπ/6+cos2π/6+sin3π/2
=1/2-1+3√3/4-1/2+1/2-1
=3√3/4-3/2



cos²;79°+cos²;41°-2cos79°*cos41°*cos120°的值為


(1+cos158)/2 +(1+cos82)/2 +cos79cos41
=1-cos22 /2 +cos82/2 +cos79cos41
=1+1/2(cos82-cos22)+cos79cos41
=-sin52sin30+cos79cos41+1
=-sin52 /2 +1/2(cos120+cos38)+1
=-sin52 /2+cos38/2 +3/4
=3/4



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度整倍數直接拿出)=[tan(30)cos(150)cos150sin(-60)]/[cos(-60)sin(30)]= -[tan…



(tan-150度)cos(-570度)cos(-1140度)tan(-240度)/sin(-690度)等於多少


tan -150°cos -570°cos -1140°tan -240°/sin -690°
=tan(-180°+30°)cos(-720°+150°)cos(-1260°+120°)tan(-360°+120°)/sin(-720°+30°)
=tan 30°cos 150°(-cos120°)tan 120°/sin30
=√3/3×-√3/2×1/2×-√3÷1/2
=√3/2
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