Solve 4g^21.8-tan^21.2/1-tan^21.8tan^21.2

$$\frac { 4 g ^ { 2 } 1.8 - \tan ^ { 2 } 1.2 } { 1 - \tan ^ { 2 } 1.8 \tan ^ { 2 } 1.2 }$$

Evaluate

$$\frac{960000000000000000000000000000000000000000000000000000000000000000000g^{2}}{133333275554529803379601473477736286925019179673152359354188107497533}-\frac{175510956692595589607581579536067600000000000000000000000000000000}{399999826663589410138804420433208860775057539019457078062564322492599}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4 g ^ {2} 1.8 - 0.020947013909659987 ^ {2}}{1 - 0.03142626604335115 ^ {2} 0.020947013909659987 ^ {2}}$$

Multiply 4 and 1.8 to get 7.2.

$$\frac{7.2g^{2}-0.020947013909659987^{2}}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

Calculate 0.020947013909659987 to the power of 2 and get 0.000438777391731488974018953948840169.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

Calculate 0.03142626604335115 to the power of 2 and get 0.0009876101974274855444911222063225.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0009876101974274855444911222063225\times 0.020947013909659987^{2}}$$

Calculate 0.020947013909659987 to the power of 2 and get 0.000438777391731488974018953948840169.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0009876101974274855444911222063225\times 0.000438777391731488974018953948840169}$$

Multiply 0.0009876101974274855444911222063225 and 0.000438777391731488974018953948840169 to get 0.0000004333410264746529889489169778480623561524513573048435891937685025.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0000004333410264746529889489169778480623561524513573048435891937685025}$$

Subtract 0.0000004333410264746529889489169778480623561524513573048435891937685025 from 1 to get 0.9999995666589735253470110510830221519376438475486426951564108062314975.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{0.9999995666589735253470110510830221519376438475486426951564108062314975}$$

Expand

$$\frac{960000000000000000000000000000000000000000000000000000000000000000000g^{2}}{133333275554529803379601473477736286925019179673152359354188107497533}-\frac{175510956692595589607581579536067600000000000000000000000000000000}{399999826663589410138804420433208860775057539019457078062564322492599}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4 g ^ {2} 1.8 - 0.020947013909659987 ^ {2}}{1 - 0.03142626604335115 ^ {2} 0.020947013909659987 ^ {2}}$$

Multiply 4 and 1.8 to get 7.2.

$$\frac{7.2g^{2}-0.020947013909659987^{2}}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

Calculate 0.020947013909659987 to the power of 2 and get 0.000438777391731488974018953948840169.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

Calculate 0.03142626604335115 to the power of 2 and get 0.0009876101974274855444911222063225.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0009876101974274855444911222063225\times 0.020947013909659987^{2}}$$

Calculate 0.020947013909659987 to the power of 2 and get 0.000438777391731488974018953948840169.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0009876101974274855444911222063225\times 0.000438777391731488974018953948840169}$$

Multiply 0.0009876101974274855444911222063225 and 0.000438777391731488974018953948840169 to get 0.0000004333410264746529889489169778480623561524513573048435891937685025.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{1-0.0000004333410264746529889489169778480623561524513573048435891937685025}$$

Subtract 0.0000004333410264746529889489169778480623561524513573048435891937685025 from 1 to get 0.9999995666589735253470110510830221519376438475486426951564108062314975.

$$\frac{7.2g^{2}-0.000438777391731488974018953948840169}{0.9999995666589735253470110510830221519376438475486426951564108062314975}$$