Solve tan^218-tan^212/1-tan^218tan^212

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

Evaluate

$$\frac{86275024415860280357555900130400000000000000000000000000000000}{1421757413816750011084572038072202330886683359109486011143105153}\approx 0.060681959$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.3249196962329063 ^ {2} - 0.2125565616700221 ^ {2}}{1 - 0.3249196962329063 ^ {2} 0.2125565616700221 ^ {2}}$$

Calculate 0.3249196962329063 to the power of 2 and get 0.10557280900008410443921494457969.

$$\frac{0.10557280900008410443921494457969-0.2125565616700221^{2}}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Calculate 0.2125565616700221 to the power of 2 and get 0.04518029190898190818892581448841.

$$\frac{0.10557280900008410443921494457969-0.04518029190898190818892581448841}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Subtract 0.04518029190898190818892581448841 from 0.10557280900008410443921494457969 to get 0.06039251709110219625028913009128.

$$\frac{0.06039251709110219625028913009128}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Calculate 0.3249196962329063 to the power of 2 and get 0.10557280900008410443921494457969.

$$\frac{0.06039251709110219625028913009128}{1-0.10557280900008410443921494457969\times 0.2125565616700221^{2}}$$

Calculate 0.2125565616700221 to the power of 2 and get 0.04518029190898190818892581448841.

$$\frac{0.06039251709110219625028913009128}{1-0.10557280900008410443921494457969\times 0.04518029190898190818892581448841}$$

Multiply 0.10557280900008410443921494457969 and 0.04518029190898190818892581448841 to get 0.0047698103282749922407995733494583683793216486233597921998263929.

$$\frac{0.06039251709110219625028913009128}{1-0.0047698103282749922407995733494583683793216486233597921998263929}$$

Subtract 0.0047698103282749922407995733494583683793216486233597921998263929 from 1 to get 0.9952301896717250077592004266505416316206783513766402078001736071.

$$\frac{0.06039251709110219625028913009128}{0.9952301896717250077592004266505416316206783513766402078001736071}$$

Expand \frac{0.06039251709110219625028913009128}{0.9952301896717250077592004266505416316206783513766402078001736071} by multiplying both numerator and the denominator by 10000000000000000000000000000000000000000000000000000000000000000.

$$\frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071}$$

Reduce the fraction \frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071} to lowest terms by extracting and canceling out 7.

$$\frac{86275024415860280357555900130400000000000000000000000000000000}{1421757413816750011084572038072202330886683359109486011143105153}$$