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Sederhanakanlah bentuk berikut sin ( 18 0 ∘ + α ) + cos ( 9 0 ∘ + α ∘ ) + sin ( 27 0 ∘ + α ∘ )

Sederhanakanlah bentuk berikut

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Master Teacher

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Ingat! maka : lalu substitusikan hasil yang diatas ke persamaan yang berada pada soal jadi, bentuk sederhananya adalah

Ingat!

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space left parenthesis a plus b right parenthesis end cell equals cell sin space a space cos space b plus cos space a space sin space b end cell row cell cos space left parenthesis a plus b right parenthesis end cell equals cell cos space a space cos space b space minus sin space a space sin space b end cell end table

maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space left parenthesis 180 degree plus alpha degree right parenthesis end cell equals cell sin space 180 degree space cos space alpha degree plus cos space 180 degree space sin space alpha degree end cell row blank equals cell 0 times cos space alpha degree plus left parenthesis negative 1 right parenthesis sin space alpha degree end cell row blank equals cell negative sin space alpha degree end cell row blank blank blank row cell cos space left parenthesis 90 degree plus alpha degree right parenthesis end cell equals cell cos space 90 degree space cos space alpha degree minus sin space 90 degree space sin space alpha degree end cell row blank equals cell 0 times cos space alpha degree minus 1 sin space alpha degree end cell row blank equals cell negative sin space alpha degree end cell row blank blank blank row cell sin space left parenthesis 270 degree plus alpha degree right parenthesis end cell equals cell sin space 270 degree space cos space alpha degree plus cos space 270 degree space sin space alpha degree end cell row blank equals cell negative 1 times cos space alpha degree plus 0 times sin space alpha degree end cell row blank equals cell negative cos space alpha degree end cell end table

lalu substitusikan hasil yang diatas ke persamaan yang berada pada soal

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell sin open parentheses 180 to the power of ring operator plus alpha degree close parentheses plus cos open parentheses 90 to the power of ring operator plus alpha to the power of ring operator close parentheses plus sin open parentheses 270 to the power of ring operator plus alpha to the power of ring operator close parentheses end cell row blank equals cell negative sin space alpha to the power of ring operator plus left parenthesis negative sin space alpha to the power of ring operator right parenthesis plus left parenthesis negative cos space alpha to the power of ring operator right parenthesis end cell row blank equals cell negative sin space alpha to the power of ring operator minus sin space alpha to the power of ring operator minus cos space alpha to the power of ring operator end cell row blank equals cell negative 2 space sin space alpha to the power of ring operator minus cos space alpha to the power of ring operator end cell end table

jadi, bentuk sederhananya adalah Error converting from MathML to accessible text.

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31_Santika Wulandari - X MIPA 8

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