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Nilai 2 cos 13 5 ∘ sin 31 5 ∘ + tan 22 5 ∘ = ...

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O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

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nilai .

nilai 2 space cos space 135 degree space sin space 315 degree plus tan space 225 degree equals 2.

Pembahasan

Menentukan nilai : Menentukan nilai : Menentukan nilai : Menentukan nilai : Jadi, nilai .

  • Menentukan nilai cos space 135 degree :

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 135 degree end cell equals cell cos left parenthesis 180 degree minus 45 degree right parenthesis end cell row cell cos space 135 degree end cell equals cell negative cos space 45 degree end cell row cell cos space 135 degree end cell equals cell negative fraction numerator square root of 2 over denominator 2 end fraction end cell end table

  • Menentukan nilai sin space 315 degree:

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 315 degree end cell equals cell sin space open parentheses 360 degree minus 45 degree close parentheses end cell row cell sin space 315 degree end cell equals cell negative sin space 45 degree end cell row cell sin space 315 degree end cell equals cell negative fraction numerator square root of 2 over denominator 2 end fraction end cell end table

  • Menentukan nilai tan space 225 degree:

tan space 225 degree equals tan open parentheses 270 degree minus 45 degree close parentheses tan space 225 degree equals cot space 45 degree tan space 225 degree equals 1 space space

  • Menentukan nilai 2 space cos space 135 degree space sin space 315 degree plus tan space 225 degree:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 space cos space 135 degree space sin space 315 degree plus tan space 225 degree end cell equals cell 2 open parentheses negative fraction numerator square root of 2 over denominator 2 end fraction close parentheses open parentheses negative fraction numerator square root of 2 over denominator 2 end fraction close parentheses plus 1 end cell row blank equals cell 2 over 2 plus 1 end cell row blank equals cell 1 plus 1 end cell row blank equals 2 end table

Jadi, nilai 2 space cos space 135 degree space sin space 315 degree plus tan space 225 degree equals 2.

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