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Buktikan identitas trigonometri berikut.

Buktikan identitas trigonometri berikut.

begin mathsize 14px style text tan A cos end text to the power of 4 space straight A plus cotan space straight A space sin to the power of 4 space straight A equals sin space straight A space cos space straight A end style 

  1. begin mathsize 14px style.... end style  

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Jawaban:

begin mathsize 14px style tan space straight A space cos to the power of 4 space straight A plus cotan space straight A space sin to the power of 4 space straight A equals open parentheses fraction numerator sin space straight A over denominator cos space straight A end fraction close parentheses cos to the power of 4 space straight A plus open parentheses fraction numerator cos space straight A over denominator sin space straight A end fraction close parentheses sin to the power of 4 space straight A equals sin space straight A space cos cubed space straight A plus cos space straight A space sin cubed space straight A equals sin space straight A space cos space straight A open parentheses cos squared space straight A plus sin squared space straight A close parentheses equals sin space straight A space cos space straight A end style 

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