Pertanyaan

tan 21 0 ∘ + sec 21 0 ∘ = ...

$tan 21 0^{\circ} + sec 21 0^{\circ} = ...$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Dengan menggunakan konsep sudut berelasi pada trigonometri diperoleh: Jadi,

Dengan menggunakan konsep sudut berelasi pada trigonometri diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 210 degree end cell equals cell tan left parenthesis 180 degree plus 30 degree right parenthesis end cell row blank equals cell tan space 30 degree end cell row blank equals cell 1 third square root of 3 end cell end table

$table attributes columnalign right center left columnspacing 0px end attributes row cell sec space 210 degree end cell equals cell negative sec left parenthesis 180 degree minus 30 degree right parenthesis end cell row blank equals cell negative sec space 30 degree end cell row blank equals cell fraction numerator negative 1 over denominator cos space 30 degree end fraction end cell row blank equals cell negative 2 over 3 square root of 3 end cell end table$

Jadi,

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan 210 degree plus sec 210 degree end cell equals cell 1 third square root of 3 minus 2 over 3 square root of 3 end cell row blank equals cell fraction numerator negative 1 over denominator 3 end fraction square root of 3 end cell end table$