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Buktikan bahwa left parenthesis tan space straight alpha plus sec space straight alpha right parenthesis left parenthesis tan space straight alpha minus sec space straight alpha right parenthesis equals negative 1  

Pembahasan Soal:

Kita ketahui bahwa sec squared space straight alpha equals tan squared space straight alpha plus 1 maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis tan space straight alpha plus sec space straight alpha right parenthesis left parenthesis tan space straight alpha minus sec space straight alpha right parenthesis end cell equals cell negative 1 end cell row cell tan squared space straight alpha plus sec space straight alpha space tan space straight alpha minus sec space straight alpha space tan space straight alpha minus sec squared space straight alpha end cell equals cell negative 1 end cell row cell tan squared space straight alpha minus sec squared space straight alpha end cell equals cell negative 1 end cell row cell tan squared space straight alpha minus left parenthesis tan squared space straight alpha plus 1 right parenthesis end cell equals cell negative 1 end cell row cell tan squared space straight alpha minus tan squared space straight alpha minus 1 end cell equals cell negative 1 end cell row cell negative 1 end cell equals cell negative 1 end cell end table 

Jadi, terbukti bahwa left parenthesis tan space straight alpha plus sec space straight alpha right parenthesis left parenthesis tan space straight alpha minus sec space straight alpha right parenthesis equals negative 1  

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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