Solve 3+cot76^circcot16^circ/cot76^circ+cot16^circ

$$\frac { 3 + \cot 76 ^ { \circ } \cot 16 ^ { \circ } } { \cot 76 ^ { \circ } + \cot 16 ^ { \circ } }$$

Evaluate

$$\frac{773902015673863209419094412487679}{747348489336817910000000000000000}\approx 1.035530314$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3 + 0.24932800284318085 \cdot 3.4874144438409087}{0.24932800284318085 + 3.4874144438409087}$$

Multiply 0.24932800284318085 and 3.4874144438409087 to get 0.869510078369316047095472062438395.

$$\frac{3+0.869510078369316047095472062438395}{0.24932800284318085+3.4874144438409087}$$

Add 3 and 0.869510078369316047095472062438395 to get 3.869510078369316047095472062438395.

$$\frac{3.869510078369316047095472062438395}{0.24932800284318085+3.4874144438409087}$$

Add 0.24932800284318085 and 3.4874144438409087 to get 3.73674244668408955.

$$\frac{3.869510078369316047095472062438395}{3.73674244668408955}$$

Expand \frac{3.869510078369316047095472062438395}{3.73674244668408955} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$\frac{3869510078369316047095472062438395}{3736742446684089550000000000000000}$$

Reduce the fraction \frac{3869510078369316047095472062438395}{3736742446684089550000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{773902015673863209419094412487679}{747348489336817910000000000000000}$$