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Pertanyaan

Jika sin x + cos x = 3 2 ​ 2 ​ , maka cos 4x = ....

Jika , maka cos 4x = ....

  1. begin mathsize 14px style negative 79 over 81 end style  

  2. size 14px minus size 14px 2 over size 14px 81  

  3. size 14px minus size 14px 1 over size 14px 9  

  4. size 14px 2 over size 14px 81  

  5. size 14px 79 over size 14px 81  

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R. Fajar

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

jawaban yang tepat adalah E.

Pembahasan

Perhatikan bahwa Kemudian Jadi, jawaban yang tepat adalah E.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application x plus cos invisible function application x end cell equals cell 2 over 3 square root of 2 end cell row cell open parentheses sin invisible function application x plus cos invisible function application x close parentheses squared end cell equals cell open parentheses 2 over 3 square root of 2 close parentheses squared end cell row cell sin squared invisible function application x plus 2 sin invisible function application x cos invisible function application x plus cos squared invisible function application x end cell equals cell 4 over 9 times 2 end cell row cell open parentheses sin squared invisible function application x plus cos squared invisible function application x close parentheses plus 2 sin invisible function application x cos invisible function application x end cell equals cell 8 over 9 end cell row cell 1 plus sin invisible function application 2 x end cell equals cell 8 over 9 end cell row cell sin invisible function application 2 x end cell equals cell 8 over 9 minus 1 end cell row cell sin invisible function application 2 x end cell equals cell 8 over 9 minus 9 over 9 end cell row cell sin invisible function application 2 x end cell equals cell negative 1 over 9 end cell end table end style

Kemudian

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 4 x end cell equals cell 1 minus 2 sin squared invisible function application 2 x end cell row blank equals cell 1 minus 2 open parentheses negative 1 over 9 close parentheses squared end cell row blank equals cell 1 minus 2 open parentheses 1 over 81 close parentheses end cell row blank equals cell 1 minus 2 over 81 end cell row blank equals cell 81 over 81 minus 2 over 81 end cell row blank equals cell 79 over 81 end cell end table end style  

Jadi, jawaban yang tepat adalah E.

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Jika cos A 1 − sin A ​ = p , maka nilai dari tan 2 1 ​ A adalah ....

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