Pertanyaan

Nilai dari tan 1 5 ∘ adalah....

Nilai dari $tan 1 5^{\circ}$ adalah ....

$begin mathsize 14px style fraction numerator 2 plus square root of 3 over denominator 2 end fraction end style$
$begin mathsize 14px style fraction numerator 2 minus square root of 3 over denominator 2 end fraction end style$

N. Putri

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat kembali rumus berikut ini! Karena ,maka diperoleh perhitungan sebagai berikut. Jadi, jawaban yang tepat adalah B.

Ingat kembali rumus berikut ini!

$begin mathsize 14px style tan invisible function application open parentheses A minus B close parentheses equals fraction numerator tan invisible function application A minus tan invisible function application B over denominator 1 plus tan invisible function application A tan invisible function application B end fraction end style$

Karena , maka diperoleh perhitungan sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application 15 degree end cell equals cell tan invisible function application left parenthesis 45 degree minus 30 degree right parenthesis end cell row blank equals cell fraction numerator tan invisible function application 45 degree minus tan invisible function application 30 degree over denominator 1 plus tan invisible function application 45 degree tan invisible function application 30 degree end fraction end cell row blank equals cell fraction numerator 1 minus 1 third square root of 3 over denominator 1 plus 1 times 1 third square root of 3 end fraction end cell row blank equals cell fraction numerator 1 minus 1 third square root of 3 over denominator 1 plus 1 third square root of 3 end fraction end cell row blank equals cell fraction numerator 1 minus 1 third square root of 3 over denominator 1 plus 1 third square root of 3 end fraction times 3 over 3 end cell row blank equals cell fraction numerator 3 minus square root of 3 over denominator 3 plus square root of 3 end fraction end cell row blank equals cell open parentheses fraction numerator 3 minus square root of 3 over denominator 3 plus square root of 3 end fraction times fraction numerator 3 minus square root of 3 over denominator 3 minus square root of 3 end fraction close parentheses end cell row blank equals cell fraction numerator 9 minus 6 square root of 3 plus 3 over denominator 3 squared minus left parenthesis square root of 3 right parenthesis squared end fraction end cell row blank equals cell fraction numerator 12 minus 6 square root of 3 over denominator 9 minus 3 end fraction end cell row blank equals cell fraction numerator 12 minus 6 square root of 3 over denominator 6 end fraction end cell row blank equals cell 2 minus square root of 3 end cell end table$

Jadi, jawaban yang tepat adalah B.