Pertanyaan

Perhatikan segitiga ABC di bawah ini! Nilai sec A ⋅ co tan C adalah...

Perhatikan segitiga ABC di bawah ini!

Nilai $sec A \cdot co tan C$ adalah...

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari

table attributes columnalign right center left columnspacing 0px end attributes row blank blank s end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank e end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank c end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank c end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank o end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank tan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2 over 3 end cell end table

Pembahasan

Jadi, nilai dari .

$table attributes columnalign right center left columnspacing 0px end attributes row cell A B end cell equals cell square root of A C squared minus B C squared end root end cell row blank equals cell square root of 10 squared minus 5 squared end root end cell row blank equals cell square root of 100 minus 25 end root end cell row blank equals cell square root of 75 end cell row blank equals cell square root of 25 cross times 3 end root end cell row blank equals cell 5 square root of 3 end cell row cell s e c space A end cell equals cell fraction numerator B C over denominator A B end fraction end cell row blank equals cell fraction numerator 10 over denominator 5 square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 10 over 15 square root of 3 end cell row blank equals cell 2 over 3 square root of 3 end cell row cell c o tan space C end cell equals cell fraction numerator B C over denominator A B end fraction end cell row blank equals cell fraction numerator 5 over denominator 5 square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 5 over 15 square root of 3 end cell row blank equals cell 1 third square root of 3 end cell row cell s e c space A times c o tan space C end cell equals cell 2 over 3 square root of 3 times 1 third square root of 3 end cell row blank equals cell 2 over 9 open parentheses 3 close parentheses end cell row blank equals cell 2 over 3 end cell end table$

Jadi, nilai dari .