Solve 23^2+cos67^2/4*tan23^2

$$\frac { 23 ^ { 2 } + \cos 67 ^ { 2 } } { 4 \cdot \tan 23 ^ { 2 } }$$

Evaluate

$$-\frac{26400918640827616785}{38876061827543872}\approx -679.104760095$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{23 ^ {2} + -0.9816271834476643}{4 \cdot -0.19438030913771936}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{529-0.9816271834476643}{4\left(-0.19438030913771936\right)}$$

Subtract 0.9816271834476643 from 529 to get 528.0183728165523357.

$$\frac{528.0183728165523357}{4\left(-0.19438030913771936\right)}$$

Multiply 4 and -0.19438030913771936 to get -0.77752123655087744.

$$\frac{528.0183728165523357}{-0.77752123655087744}$$

Expand \frac{528.0183728165523357}{-0.77752123655087744} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{52801837281655233570}{-77752123655087744}$$

Reduce the fraction \frac{52801837281655233570}{-77752123655087744} to lowest terms by extracting and canceling out 2.

$$-\frac{26400918640827616785}{38876061827543872}$$

Factor

$$-\frac{26400918640827616785}{38876061827543872} = -679\frac{4072659925328192}{38876061827543870} = -679.1047600948726$$