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Tentukan nilai bentuk trigonometri berikut. a. cos 30 0 ∘ sin ( − 57 0 ∘ ) + cosec 69 0 ∘ cotan ( − 75 0 ∘ )

Tentukan nilai bentuk trigonometri berikut.

a. $cos 30 0^{\circ} sin (- 57 0^{\circ}) + cosec 69 0^{\circ} cotan (- 75 0^{\circ})$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell cos space 300 degree times sin left parenthesis negative 570 degree right parenthesis plus cos e c space 690 degree c o tan left parenthesis negative 750 degree right parenthesis end cell row blank blank blank row blank equals cell cos left parenthesis 360 degree minus 30 degree right parenthesis times left parenthesis negative sin left parenthesis 360 degree plus 270 degree minus 60 degree right parenthesis right parenthesis times cos e c left parenthesis 720 degree minus 30 degree right parenthesis times left parenthesis negative c o tan left parenthesis 720 degree plus 30 degree right parenthesis right parenthesis end cell row blank equals cell negative cos space 30 degree times left parenthesis negative cos space 60 degree right parenthesis minus left parenthesis negative cos e c space 30 degree right parenthesis times c o tan space 30 degree end cell row blank equals cell negative fraction numerator square root of 3 over denominator 2 end fraction times left parenthesis negative 1 half right parenthesis plus 2 times square root of 3 end cell row blank equals cell fraction numerator square root of 3 over denominator 4 end fraction plus 2 square root of 3 end cell row blank equals cell 9 over 4 square root of 3 space. end cell end table end style$