cosπ|3-tanπ|4+3|4tan²π|6+cos²π|6-sinπ|4

cosπ|3-tanπ|4+3|4tan²π|6+cos²π|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

The value of COS & # 178; 79 ° + cos & # 178; 41 ° - 2cos 79 ° * cos 41 ° * cos 120 ° is

(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

Evaluation [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 degree integer directly) = [Tan (30) cos (150) cos150sin (- 60)] / [cos (- 60) sin (30)] = - [Tan

(tan-150 degrees) cos (- 570 degrees) cos (- 1140 degrees) Tan (- 240 degrees) / sin (- 690 degrees)

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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