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begin mathsize 14px style P left parenthesis 2 comma 3 right parenthesis rightwards arrow with R on top open parentheses 0 comma negative 45 degree close parentheses equals P apostrophe equals... end style

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

diperoleh begin mathsize 14px style P apostrophe equals open parentheses 5 over 2 square root of 2 comma 1 half square root of 2 close parentheses end style.

Pembahasan

Bayangan titik P dapat ditentukan sebagai berikut:

begin mathsize 14px style P apostrophe equals open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos left parenthesis negative 45 right parenthesis end cell cell negative sin left parenthesis negative 45 right parenthesis end cell row cell sin left parenthesis negative 45 right parenthesis end cell cell cos left parenthesis negative 45 right parenthesis end cell end table close parentheses open parentheses table row x row y end table close parentheses space space space space space space space space space space space space space space space space space equals open parentheses table row cell 1 half square root of 2 end cell cell 1 half square root of 2 end cell row cell negative 1 half square root of 2 end cell cell 1 half square root of 2 end cell end table close parentheses open parentheses table row 2 row 3 end table close parentheses space space space space space space space space space space space space space space space space space equals open parentheses table row cell square root of 2 plus 3 over 2 square root of 2 end cell row cell negative square root of 2 plus 3 over 2 square root of 2 end cell end table close parentheses space space space space space space space space space space space space space space space space space equals open parentheses table row cell 5 over 2 square root of 2 end cell row cell 1 half square root of 2 end cell end table close parentheses end style

Jadi, diperoleh begin mathsize 14px style P apostrophe equals open parentheses 5 over 2 square root of 2 comma 1 half square root of 2 close parentheses end style.

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