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Jika x dikuadran II dan tan x = a maka tentukan nilai sin ( 90 + x )

Jika x dikuadran II dan

 

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S. Nur

Master Teacher

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Pembahasan

Karena di kuadran II maka nilai sin akan + dan cos, tan akan bernilai - dimana Karena Dikarenakan tan dan cos di kuadran II bernilai - maka

Karena di kuadran II maka nilai sin akan + dan cos, tan akan bernilai -

dimana

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space open parentheses 90 plus x close parentheses end cell equals cell sin 90 degree cross times cos x plus cos 90 degree cross times sin x end cell row blank equals cell 1 cross times cos x plus 0 cross times sin x end cell row blank equals cell cos x end cell row blank blank blank row blank blank blank end table

Karena

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space straight x end cell equals straight a row cell straight x over straight y end cell equals cell straight a space dimana space straight x equals straight a space maka space straight y equals 1 end cell row straight r equals cell square root of straight a squared plus 1 squared end root end cell row blank equals cell square root of straight a squared plus 1 end root end cell row blank blank blank end table

Dikarenakan tan dan cos di kuadran II bernilai - maka

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space open parentheses 90 plus straight x close parentheses end cell equals cell sin 90 degree cross times cosx plus cos 90 degree cross times sinx end cell row blank equals cell 1 cross times cosx plus 0 cross times sinx end cell row blank equals cosx row blank equals cell negative fraction numerator 1 over denominator square root of straight a squared plus 1 end root end fraction cross times fraction numerator square root of straight a squared minus 1 end root over denominator square root of straight a squared minus 1 end root end fraction end cell row blank equals cell negative square root of straight a squared minus 1 end root end cell row blank blank blank row blank blank blank end table

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