Pertanyaan

tan x ⋅ sin ( 9 0 ∘ − x ) cos x ⋅ tan ( 9 0 ∘ + x ) = ....

$\frac{cos x \cdot tan ( 9 0 ^{\circ} + x )}{tan x \cdot sin ( 9 0 ^{\circ} - x )} = ....$

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Jawaban terverifikasi

Jawaban

Pembahasan

Diketahui sudut berelasi dikuadran 1, yaitu Dengan demikian, Jadi,

Diketahui sudut berelasi dikuadran 1, yaitu

table attributes columnalign right center left columnspacing 0px end attributes row cell sin open parentheses 90 degree minus sign italic alpha close parentheses end cell equals cell cos space italic alpha end cell row cell tan open parentheses 90 degree plus italic alpha close parentheses end cell equals cell negative sign italic c italic o tan space italic alpha end cell end table

Dengan demikian,

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos space x times tan open parentheses 90 degree plus x close parentheses over denominator tan space x times sin open parentheses 90 degree minus x close parentheses end fraction end cell equals cell fraction numerator cos space x times negative c o tan space x over denominator tan space x times cos space x end fraction end cell row blank equals cell fraction numerator negative begin display style fraction numerator 1 over denominator tan space x end fraction end style over denominator tan space x end fraction end cell row blank equals cell negative fraction numerator 1 over denominator tan space x end fraction times fraction numerator 1 over denominator tan space x end fraction end cell row blank equals cell negative fraction numerator 1 over denominator tan squared space x end fraction end cell row blank equals cell negative c o tan squared space x end cell end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos space x times tan open parentheses 90 degree plus x close parentheses over denominator tan space x times sin open parentheses 90 degree minus x close parentheses end fraction end cell equals cell negative c o tan squared space x end cell end table$