Roboguru

Jika ,  dan , maka  bernilai ....

Jika begin mathsize 14px style open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar colon open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar equals 2 colon 3 end stylebegin mathsize 14px style a with rightwards harpoon with barb upwards on top. e with rightwards harpoon with barb upwards on top equals 3 end style dan begin mathsize 14px style open vertical bar a with rightwards harpoon with barb upwards on top cross times e with rightwards harpoon with barb upwards on top close vertical bar equals 4 end style, maka begin mathsize 14px style open vertical bar a with rightwards harpoon with barb upwards on top plus e with rightwards harpoon with barb upwards on top close vertical bar end style bernilai ....space 

  1. 1016undefined 

  2. 1036undefined 

  3. 1076undefined 

  4. 1096undefined 

  5. 1116undefined 

Jawaban:

Diketahui

1.  begin mathsize 14px style open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar colon open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar equals 2 colon 3 space left right arrow open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar equals 2 over 3 open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar space atau space open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar equals 3 over 2 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar end style 

 

2. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar over denominator open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar end fraction end cell equals cell 2 over 3 space left right arrow space open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared over open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared equals 4 over 9 end cell end table end style  

 

3. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards harpoon with barb upwards on top cross times e with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar cross times open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar cross times sin theta end cell row 4 equals cell 2 over 3 open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar cross times open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar cross times sin theta end cell row cell 12 over 2 end cell equals cell open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared cross times sin theta end cell row cell fraction numerator 6 over denominator sin theta end fraction end cell equals cell open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared space left right arrow sin theta equals fraction numerator 6 over denominator vertical line e with rightwards harpoon with barb upwards on top vertical line squared space end fraction end cell end table end style  

 

4. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a times e end cell equals cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar cross times open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar cross times cos theta end cell row 3 equals cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar cross times 3 over 2 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar cross times cos theta end cell row cell 6 over 3 end cell equals cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared cross times cos theta end cell row cell fraction numerator 2 over denominator cos theta end fraction end cell equals cell open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared space left right arrow space cos theta equals 2 over vertical line a with rightwards harpoon with barb upwards on top vertical line squared end cell end table end style  

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan theta end cell equals cell fraction numerator sin theta over denominator cos theta end fraction end cell row blank equals cell fraction numerator begin display style 6 over open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared end style over denominator begin display style 2 over open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared end style end fraction end cell row blank equals cell 3 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared over open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared end cell row blank equals cell 3 4 over 9 end cell row blank equals cell 4 over 3 end cell row blank equals cell fraction numerator sisi space depan over denominator sisi space samping end fraction end cell end table end style

Berarti

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sisi space miring end cell equals cell square root of sisi space depan squared plus sisi space samping squared end root end cell row blank equals cell square root of 4 squared plus 3 squared end root end cell row blank equals cell square root of 16 plus 9 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 end table end style 

Akibatnya

begin mathsize 14px style sin theta equals fraction numerator sisi space depan over denominator sisi space miring end fraction equals 4 over 5 cos theta equals fraction numerator sisi space samping over denominator sisi space miring end fraction equals 3 over 5 end style 

Seingga diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with rightwards harpoon with barb upwards on top plus e with rightwards harpoon with barb upwards on top close vertical bar end cell equals cell square root of open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared plus open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar squared plus 2 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar open vertical bar e with rightwards harpoon with barb upwards on top close vertical bar cos theta end root end cell row blank equals cell square root of fraction numerator 2 over denominator cos theta end fraction plus fraction numerator 6 over denominator sin theta end fraction plus 2 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar 3 over 2 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar cos theta end root end cell row blank equals cell square root of fraction numerator 2 over denominator begin display style 3 over 5 end style end fraction plus fraction numerator 6 over denominator begin display style 4 over 5 end style end fraction plus 3 open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar squared cos theta end root end cell row blank equals cell square root of 10 over 3 plus 30 over 4 plus 3 fraction numerator 2 over denominator cos theta end fraction cos theta end root end cell row blank equals cell square root of 10 over 3 plus 15 over 2 plus 6 end root end cell row blank equals cell square root of fraction numerator 20 plus 45 plus 36 over denominator 6 end fraction end root end cell row blank equals cell square root of 101 over 6 end root end cell end table end style

Tidak ada pilihan jawaban yang tepat.space 

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