Solve sec50^circsin40^circ+cos40^circcsc50^circ

$$\sec 50 ^ { \circ } \sin 40 ^ { \circ } + \cos 40 ^ { \circ } \csc 50 ^ { \circ }$$

Evaluate

$$1.99999999999999989668525500142419$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1.5557238268604123 \cdot 0.6427876096865393 + 0.766044443118978 \cdot 1.3054072893322786$$

Multiply 1.5557238268604123 and 0.6427876096865393 to get 0.99999999999999994615725935815339.

$$0.99999999999999994615725935815339+0.766044443118978\times 1.3054072893322786$$

Multiply 0.766044443118978 and 1.3054072893322786 to get 0.9999999999999999505279956432708.

$$0.99999999999999994615725935815339+0.9999999999999999505279956432708$$

Add 0.99999999999999994615725935815339 and 0.9999999999999999505279956432708 to get 1.99999999999999989668525500142419.

$$1.99999999999999989668525500142419$$

Factor

$$\frac{13 \cdot 42463 \cdot 362306369889442192512441601}{2 ^ {32} \cdot 5 ^ {32}} = 1\frac{0.9999999999999997 \times 10^{32}}{1 \times 10^{32}} = 1.9999999999999996$$