Solve frac{an45^{circ}*sin^{2}60^{circ}*tan30^circ*tan60^circ}{1-cos^260^circ}

$$\frac { a n 45 ^ { \circ } \cdot \sin ^ { 2 } 60 ^ { \circ } \cdot \tan 30 ^ { \circ } \cdot \tan 60 ^ { \circ } } { 1 - \cos ^ { 2 } 60 ^ { \circ } }$$

Evaluate

$$\frac{12626682753550471365278624187an_{45}}{10000000000000000000000000000}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{a n 45 \cdot 0.973139869965405 ^ {2}}{1 - \cos^{2}(60)}$$

Calculate 0.973139869965405 to the power of 2 and get 0.947001206516285352395896814025.

$$\frac{an_{45}\times 0.947001206516285352395896814025}{1-\left(\cos(60)\right)^{2}}$$

Get the value of \cos(60) from trigonometric values table.

$$\frac{an_{45}\times 0.947001206516285352395896814025}{1-\left(\frac{1}{2}\right)^{2}}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{an_{45}\times 0.947001206516285352395896814025}{1-\frac{1}{4}}$$

Subtract \frac{1}{4} from 1 to get \frac{3}{4}.

$$\frac{an_{45}\times 0.947001206516285352395896814025}{\frac{3}{4}}$$

Divide an_{45}\times 0.947001206516285352395896814025 by \frac{3}{4} by multiplying an_{45}\times 0.947001206516285352395896814025 by the reciprocal of \frac{3}{4}.

$$\frac{an_{45}\times 0.947001206516285352395896814025\times 4}{3}$$

Multiply 0.947001206516285352395896814025 and 4 to get 3.7880048260651414095835872561.

$$\frac{an_{45}\times 3.7880048260651414095835872561}{3}$$

Divide an_{45}\times 3.7880048260651414095835872561 by 3 to get an_{45}\times 1.2626682753550471365278624187.

$$an_{45}\times 1.2626682753550471365278624187$$