Pertanyaan

Nilai cot 10 5 o tan 1 5 o adalah ...

Nilai $cot 10 5^{o} tan 1 5^{o}$ adalah ...

-7 + 4
7 + 4
7 - 4
-7 - 4
- 7 + 2

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cot invisible function application 105 to the power of o tan invisible function application 15 to the power of o end cell equals cell cot invisible function application left parenthesis 90 to the power of o plus 15 to the power of o right parenthesis tan invisible function application 15 to the power of o end cell row blank equals cell tan invisible function application 15 to the power of o tan invisible function application 15 to the power of o end cell row blank equals cell open parentheses tan invisible function application 15 to the power of o close parentheses squared end cell row blank equals cell open parentheses tan invisible function application 15 to the power of o close parentheses squared end cell row blank equals cell open parentheses fraction numerator tan invisible function application 45 to the power of o minus t a n 30 to the power of o over denominator 1 plus t a n 45 to the power of o t a n 30 to the power of o end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator 1 minus fraction numerator 1 over denominator square root of 3 end fraction over denominator 1 plus 1 times fraction numerator 1 over denominator square root of 3 end fraction end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction. fraction numerator square root of 3 minus 1 over denominator square root of 3 minus 1 end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator 3 minus 2 square root of 3 plus 1 over denominator 3 minus 1 end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator 4 minus 2 square root of 3 over denominator 3 minus 1 end fraction close parentheses squared end cell row blank equals cell open parentheses 2 minus square root of 3 close parentheses squared end cell row blank equals cell 4 minus 2 square root of 3 plus 3 end cell row blank equals cell 7 minus 2 square root of 3 end cell end table end style$