cot 105 tan15=...

cot 105 $begin mathsize 12px style degree end style$ tan15 $begin mathsize 12px style degree end style$ =...

- 7 + 4 $begin mathsize 12px style square root of 3 end style$
7 + 4 $begin mathsize 12px style square root of 3 end style$
7 - 4 $begin mathsize 12px style square root of 3 end style$
- 7 - 4 $begin mathsize 12px style square root of 3 end style$
- 7 + 2 $begin mathsize 12px style square root of 3 end style$

Jawaban:

Ingat!

Sifat-sifat Trigonometri berikut:

$begin mathsize 12px style c o t space alpha equals fraction numerator cos space alpha over denominator sin space alpha end fraction tan space alpha equals fraction numerator sin space alpha over denominator cos space alpha end fraction 2 space sin space alpha space cos space beta space equals space sin open parentheses alpha plus beta close parentheses plus sin open parentheses alpha minus beta close parentheses 2 space cos space alpha space sin space beta space equals space sin open parentheses alpha plus beta close parentheses minus sin open parentheses alpha minus beta close parentheses end style$

Maka:

$size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator size 12px cos size 12px space size 12px 105 size 12px degree over denominator size 12px sin size 12px space size 12px 105 size 12px degree end fraction size 12px cross times fraction numerator size 12px sin size 12px space size 12px 15 size 12px degree over denominator size 12px cos size 12px space size 12px 15 size 12px degree end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style 1 half open parentheses 2 space cos space 105 degree space sin space 15 degree close parentheses end style over denominator size 12px 1 over size 12px 2 open parentheses size 12px 2 size 12px space size 12px sin size 12px space size 12px 105 size 12px degree size 12px space size 12px cos size 12px space size 12px 15 size 12px degree close parentheses end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style sin open parentheses 105 degree plus 15 degree close parentheses minus sin open parentheses 105 degree minus 15 degree close parentheses end style over denominator size 12px sin open parentheses size 12px 105 size 12px degree size 12px plus size 12px 15 size 12px degree close parentheses size 12px plus size 12px sin open parentheses size 12px 105 size 12px degree size 12px minus size 12px 15 size 12px degree close parentheses end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style sin space 120 degree minus sin space 90 degree end style over denominator size 12px sin size 12px space size 12px 120 size 12px degree size 12px plus size 12px sin size 12px space size 12px 90 size 12px degree end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style 1 half square root of 3 minus 1 end style over denominator size 12px 1 over size 12px 2 square root of size 12px 3 size 12px plus size 12px 1 end fraction size 12px space open parentheses size 12px semua size 12px space size 12px dikalikan size 12px space size 12px dengan size 12px space size 12px 2 over size 12px 2 close parentheses size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style square root of 3 minus 2 end style over denominator square root of size 12px 3 size 12px plus size 12px 2 end fraction size 12px space open parentheses size 12px selanjutnya size 12px space size 12px dirasionalkan close parentheses size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style square root of 3 minus 2 end style over denominator square root of size 12px 3 size 12px plus size 12px 2 end fraction size 12px cross times fraction numerator begin mathsize 12px display style square root of 3 minus 2 end style over denominator square root of size 12px 3 size 12px minus size 12px 2 end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals fraction numerator begin mathsize 12px display style 3 minus 2 square root of 3 minus 2 square root of 3 plus 4 end style over denominator size 12px 3 size 12px minus size 12px 4 end fraction size 12px c size 12px o size 12px t size 12px space size 12px 105 size 12px degree size 12px space size 12px tan size 12px 15 size 12px degree size 12px equals size 12px minus size 12px 7 size 12px plus size 12px 4 square root of size 12px 3$

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