Pertanyaan

Nilai (cosec315°+sec225°)-cotan 2 12 0 ∘ adalah ....

Nilai $( cosec 315°+sec 225°)-cotan^{2} 12 0^{\circ}$ adalah ....

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Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style open parentheses cosec space 315 degree plus sec space 225 degree close parentheses minus cotan squared space 120 degree equals open parentheses cosec open parentheses 360 degree minus 45 degree close parentheses plus sec open parentheses 180 degree plus 45 degree close parentheses close parentheses minus cotan squared space open parentheses 180 degree minus 60 degree close parentheses equals open parentheses negative cosec space 45 degree plus open parentheses negative sec space 45 degree close parentheses close parentheses minus open parentheses negative cotan squared space 60 degree close parentheses equals open parentheses negative fraction numerator 2 over denominator square root of 2 end fraction minus fraction numerator 2 over denominator square root of 2 end fraction close parentheses plus open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared equals negative fraction numerator 4 over denominator square root of 2 end fraction plus 1 third equals negative 2 square root of 2 plus 1 third equals fraction numerator negative 6 square root of 2 plus 1 over denominator 3 end fraction end style$