求解 4g^218-tan^212/1-tan^218tan^212

$$\frac { 4 g ^ { 2 } 18 - \tan ^ { 2 } 12 } { 1 - \tan ^ { 2 } 18 \tan ^ { 2 } 12 }$$

求值

$$\frac{720000000000000000000000000000000000000000000000000000000000000000g^{2}-451802919089819081889258144884100000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071}$$

求解步骤

对题中的三角函数求值

$$\frac{4 g ^ {2} 18 - 0.2125565616700221 ^ {2}}{1 - 0.3249196962329063 ^ {2} 0.2125565616700221 ^ {2}}$$

将 4 与 18 相乘，得到 72。

$$\frac{72g^{2}-0.2125565616700221^{2}}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

计算 2 的 0.2125565616700221 乘方，得到 0.04518029190898190818892581448841。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

计算 2 的 0.3249196962329063 乘方，得到 0.10557280900008410443921494457969。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.10557280900008410443921494457969\times 0.2125565616700221^{2}}$$

计算 2 的 0.2125565616700221 乘方，得到 0.04518029190898190818892581448841。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.10557280900008410443921494457969\times 0.04518029190898190818892581448841}$$

将 0.10557280900008410443921494457969 与 0.04518029190898190818892581448841 相乘，得到 0.0047698103282749922407995733494583683793216486233597921998263929。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.0047698103282749922407995733494583683793216486233597921998263929}$$

将 1 减去 0.0047698103282749922407995733494583683793216486233597921998263929，得到 0.9952301896717250077592004266505416316206783513766402078001736071。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{0.9952301896717250077592004266505416316206783513766402078001736071}$$

展开

$$\frac{720000000000000000000000000000000000000000000000000000000000000000g^{2}-451802919089819081889258144884100000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071}$$

求解步骤

对题中的三角函数求值

$$\frac{4 g ^ {2} 18 - 0.2125565616700221 ^ {2}}{1 - 0.3249196962329063 ^ {2} 0.2125565616700221 ^ {2}}$$

将 4 与 18 相乘，得到 72。

$$\frac{72g^{2}-0.2125565616700221^{2}}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

计算 2 的 0.2125565616700221 乘方，得到 0.04518029190898190818892581448841。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

计算 2 的 0.3249196962329063 乘方，得到 0.10557280900008410443921494457969。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.10557280900008410443921494457969\times 0.2125565616700221^{2}}$$

计算 2 的 0.2125565616700221 乘方，得到 0.04518029190898190818892581448841。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.10557280900008410443921494457969\times 0.04518029190898190818892581448841}$$

将 0.10557280900008410443921494457969 与 0.04518029190898190818892581448841 相乘，得到 0.0047698103282749922407995733494583683793216486233597921998263929。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{1-0.0047698103282749922407995733494583683793216486233597921998263929}$$

将 1 减去 0.0047698103282749922407995733494583683793216486233597921998263929，得到 0.9952301896717250077592004266505416316206783513766402078001736071。

$$\frac{72g^{2}-0.04518029190898190818892581448841}{0.9952301896717250077592004266505416316206783513766402078001736071}$$