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Diketahui fungsi trigonometri , dengan . Apabila ,...

Diketahui fungsi trigonometri begin mathsize 14px style y equals tan open parentheses x plus 30 degree close parentheses end style, dengan begin mathsize 14px style 0 degree less or equal than x less or equal than 180 degree end style. Apabila begin mathsize 14px style y equals 1 third square root of 3 end style, nilai begin mathsize 14px style x end style adalah ....

Jawaban:

Diketahui fungsi trigonometri begin mathsize 14px style y equals tan open parentheses x plus 30 degree close parentheses end style, dengan begin mathsize 14px style 0 degree less or equal than x less or equal than 180 degree end style. Akan dicari nilai begin mathsize 14px style x end style jika begin mathsize 14px style y equals 1 third square root of 3 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell tan left parenthesis x plus 30 degree right parenthesis end cell row cell 1 third square root of 3 end cell equals cell tan left parenthesis x plus 30 degree right parenthesis end cell row cell x plus 30 degree end cell equals cell tan to the power of negative 1 end exponent open parentheses 1 third square root of 3 close parentheses end cell end table end style 

Selanjutnya kita tahu bahwa begin mathsize 14px style tan open parentheses 30 degree close parentheses equals tan open parentheses 210 degree close parentheses equals 1 third square root of 3 end style, sehingga diperoleh

  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x plus 30 degree end cell equals cell 210 degree end cell row x equals cell 180 degree end cell end table end style 
     
  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x plus 30 degree end cell equals cell 30 degree end cell row x equals cell 0 degree end cell end table end style 
     

juga memenuhi  begin mathsize 14px style 0 degree less or equal than x less or equal than 180 degree end style 


Jadi, nilai begin mathsize 14px style x end style yang memenuhi adalah begin mathsize 14px style 0 degree end style dan begin mathsize 14px style 180 degree end style.

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