Solve 2*20*40sin(72)+20*20tan(72)

$$2 \cdot 20 \cdot 40 \sin ( 72 ) +20 \cdot 20 \tan ( 72 )$$

Evaluate

$$2752.76384094234668$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2 \cdot 20 \cdot 40 \cdot 0.9510565162951535 + 20 \cdot 20 \cdot 3.0776835371752527$$

Multiply 2 and 20 to get 40. Multiply 20 and 20 to get 400.

$$40\times 40\times 0.9510565162951535+400\times 3.0776835371752527$$

Multiply 40 and 40 to get 1600.

$$1600\times 0.9510565162951535+400\times 3.0776835371752527$$

Multiply 1600 and 0.9510565162951535 to get 1521.6904260722456.

$$1521.6904260722456+400\times 3.0776835371752527$$

Multiply 400 and 3.0776835371752527 to get 1231.07341487010108.

$$1521.6904260722456+1231.07341487010108$$

Add 1521.6904260722456 and 1231.07341487010108 to get 2752.76384094234668.

$$2752.76384094234668$$

Factor

$$\frac{21803 \cdot 628379 \cdot 5023091}{2 ^ {12} \cdot 5 ^ {14}} = 2752\frac{19096023558664}{25000000000000} = 2752.7638409423466$$