Solve 20tan(35^circ)*tan(45^circ)/tan(45^circ)-tan(35^circ)

$$\frac { 20 \tan ( 35 ^ { \circ } ) \times \tan ( 45 ^ { \circ } ) } { \tan ( 45 ^ { \circ } ) - \tan ( 35 ^ { \circ } ) }$$

Evaluate

$$\frac{140041507641941940}{2997924617902903}\approx 46.712818196$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{20 \cdot 0.7002075382097097 \cdot \tan(45)}{\tan(45) - 0.7002075382097097}$$

Multiply 0.7002075382097097 and 20 to get 14.004150764194194.

$$\frac{14.004150764194194\tan(45)}{\tan(45)-0.7002075382097097}$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{14.004150764194194\times 1}{\tan(45)-0.7002075382097097}$$

Multiply 14.004150764194194 and 1 to get 14.004150764194194.

$$\frac{14.004150764194194}{\tan(45)-0.7002075382097097}$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{14.004150764194194}{1-0.7002075382097097}$$

Subtract 0.7002075382097097 from 1 to get 0.2997924617902903.

$$\frac{14.004150764194194}{0.2997924617902903}$$

Expand \frac{14.004150764194194}{0.2997924617902903} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{140041507641941940}{2997924617902903}$$