sqrt(6^sin(x))*cos(x)*cos ... n(x)))*log(6)/2 если x=-1 (упростите выражение)

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Решение

Вы ввели [src]
   _________           /   _________\       
  /  sin(x)            |  /  sin(x) |       
\/  6       *cos(x)*cos\\/  6       /*log(6)
--------------------------------------------
                     2                      
126sin(x)log(6)cos(x)cos(6sin(x))\frac{1}{2} \sqrt{6^{\sin{\left (x \right )}}} \log{\left (6 \right )} \cos{\left (x \right )} \cos{\left (\sqrt{6^{\sin{\left (x \right )}}} \right )}
Подстановка условия [src]
(((sqrt(6^sin(x))*cos(x))*cos(sqrt(6^sin(x))))*log(6))/2 при x = -1
(((sqrt(6^sin(x))*cos(x))*cos(sqrt(6^sin(x))))*log(6))/2
126sin(x)log(6)cos(x)cos(6sin(x))\frac{1}{2} \sqrt{6^{\sin{\left (x \right )}}} \log{\left (6 \right )} \cos{\left (x \right )} \cos{\left (\sqrt{6^{\sin{\left (x \right )}}} \right )}
(((sqrt(6^sin((-1)))*cos((-1)))*cos(sqrt(6^sin((-1)))))*log(6))/2
126sin((1))log(6)cos((1))cos(6sin((1)))\frac{1}{2} \sqrt{6^{\sin{\left ((-1) \right )}}} \log{\left (6 \right )} \cos{\left ((-1) \right )} \cos{\left (\sqrt{6^{\sin{\left ((-1) \right )}}} \right )}
(((sqrt(6^sin(-1))*cos(-1))*cos(sqrt(6^sin(-1))))*log(6))/2
12612sin(1)log(6)cos(1)cos(6sin(1))\frac{1}{2} 6^{\frac{1}{2} \sin{\left (-1 \right )}} \log{\left (6 \right )} \cos{\left (-1 \right )} \cos{\left (\sqrt{6^{\sin{\left (-1 \right )}}} \right )}
6^(-sin(1)/2)*cos(1)*cos(6^(-sin(1)/2))*log(6)/2
cos(1)cos(612sin(1))2612sin(1)log(6)\frac{\cos{\left (1 \right )} \cos{\left (6^{- \frac{1}{2} \sin{\left (1 \right )}} \right )}}{2 \cdot 6^{\frac{1}{2} \sin{\left (1 \right )}}} \log{\left (6 \right )}
Численный ответ [src]
0.895879734614027*(6.0^sin(x))^0.5*cos(x)*cos(sqrt(6^sin(x)))
Собрать выражение [src]
 sin(x)           / sin(x)\       
 ------           | ------|       
   2              |   2   |       
6      *cos(x)*cos\6      /*log(6)
----------------------------------
                2                 
12612sin(x)log(6)cos(612sin(x))cos(x)\frac{1}{2} 6^{\frac{1}{2} \sin{\left (x \right )}} \log{\left (6 \right )} \cos{\left (6^{\frac{1}{2} \sin{\left (x \right )}} \right )} \cos{\left (x \right )}
 sin(x)    /     sin(x)\           sin(x)    / sin(x)    \       
 ------    |     ------|           ------    | ------    |       
   2       |       2   |             2       |   2       |       
6      *cos\x + 6      /*log(6)   6      *cos\6       - x/*log(6)
------------------------------- + -------------------------------
               4                                 4               
14612sin(x)log(6)cos(612sin(x)x)+14612sin(x)log(6)cos(612sin(x)+x)\frac{1}{4} 6^{\frac{1}{2} \sin{\left (x \right )}} \log{\left (6 \right )} \cos{\left (6^{\frac{1}{2} \sin{\left (x \right )}} - x \right )} + \frac{1}{4} 6^{\frac{1}{2} \sin{\left (x \right )}} \log{\left (6 \right )} \cos{\left (6^{\frac{1}{2} \sin{\left (x \right )}} + x \right )}
Раскрыть выражение [src]
 sin(x)           / sin(x)\       
 ------           | ------|       
   2              |   2   |       
6      *cos(x)*cos\6      /*log(6)
----------------------------------
                2                 
12612sin(x)log(6)cos(612sin(x))cos(x)\frac{1}{2} 6^{\frac{1}{2} \sin{\left (x \right )}} \log{\left (6 \right )} \cos{\left (6^{\frac{1}{2} \sin{\left (x \right )}} \right )} \cos{\left (x \right )}