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Hitunglah nilai dari cot 3 0 ∘ sin 3 0 ∘ ⋅ cosec 6 0 ∘ ⋅ cos 4 5 ∘ ​ = ....

Hitunglah nilai dari   

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W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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nilai dari adalah .

nilai dari begin mathsize 14px style fraction numerator sin space 30 degree times cosec space 60 degree times cos space 45 degree over denominator cot space 30 degree end fraction end style adalah begin mathsize 14px style fraction numerator square root of 2 over denominator 6 end fraction end style.

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Diketahui , dengan menggunakan nilai-nilai pada sudut istimewa, maka: Jadi, nilai dari adalah .

Diketahui begin mathsize 14px style fraction numerator sin space 30 degree times cosec space 60 degree times cos space 45 degree over denominator cot space 30 degree end fraction end style, dengan menggunakan nilai-nilai pada sudut istimewa, maka:

begin mathsize 14px style fraction numerator sin space 30 degree times cos e c space 60 degree times cos space 45 degree over denominator c o t space 30 degree end fraction equals fraction numerator begin display style 1 half end style times begin display style fraction numerator 1 over denominator sin space 60 degree end fraction end style times begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator 1 over denominator tan space 30 degree end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style 1 half end style times begin display style fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction end style times begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 3 end fraction end style end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style 1 half times fraction numerator 2 over denominator square root of 3 end fraction times fraction numerator square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator 3 over denominator begin display style square root of 3 end style end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style fraction numerator 2 square root of 2 over denominator 4 square root of 3 end fraction end style over denominator begin display style fraction numerator 3 over denominator begin display style square root of 3 end style end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 square root of 2 over denominator 4 square root of 3 end fraction cross times fraction numerator square root of 3 over denominator 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 square root of 6 over denominator 12 square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 square root of 18 over denominator 12 times 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 square root of 9 times 2 end root over denominator 36 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 times 3 square root of 2 over denominator 36 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 6 square root of 2 over denominator 36 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator square root of 2 over denominator 6 end fraction end style 

Jadi, nilai dari begin mathsize 14px style fraction numerator sin space 30 degree times cosec space 60 degree times cos space 45 degree over denominator cot space 30 degree end fraction end style adalah begin mathsize 14px style fraction numerator square root of 2 over denominator 6 end fraction end style.

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cos 3 0 ∘ cos 4 5 ∘ − sin 3 0 ∘ sin 4 5 ∘ = ...

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