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Jika 0 < x < 2 1 ​ π dan cos x = p, maka tan x + sin x = ....

Jika 0 < x <  dan cos x = p, maka tan x + sin x = ....

  1. begin mathsize 14px style fraction numerator negative 1 plus p square root of 1 plus p squared end root over denominator 1 plus p squared end fraction end style

  2. begin mathsize 14px style fraction numerator negative 1 plus p square root of 1 plus p squared end root over denominator p end fraction end style

  3. begin mathsize 14px style fraction numerator negative 1 plus p over denominator p end fraction square root of 1 minus p squared end root end style

  4. begin mathsize 14px style fraction numerator 1 plus p over denominator p end fraction square root of 1 minus p squared end root end style

  5. begin mathsize 14px style fraction numerator 1 plus p over denominator p squared end fraction square root of 1 minus p squared end root end style

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

cos x = p↔ cos x = Jika digambarkan dalam bentuk segitiga : tan x + sin x =

cos x = p ↔ cos x = begin mathsize 14px style p over 1 end style

Jika digambarkan dalam bentuk segitiga :

undefined 

tan x + sin x =

begin mathsize 14px style fraction numerator square root of 1 minus p squared end root over denominator p end fraction plus fraction numerator square root of 1 minus p squared end root over denominator 1 end fraction equals fraction numerator square root of 1 minus p squared end root begin display style plus end style begin display style p end style begin display style square root of 1 minus p squared end root end style over denominator p end fraction equals fraction numerator 1 plus p over denominator p end fraction square root of 1 minus p squared end root end style

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