Solve sin^229^circ+sin^261^circ

$$\sin ^ { 2 } 29 ^ { \circ } + \sin ^ { 2 } 61 ^ { \circ }$$

Evaluate

$$0.9999999999999998545632673083079336$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.48480962024633706 ^ {2} + 0.8746197071393957 ^ {2}$$

Calculate 0.48480962024633706 to the power of 2 and get 0.2350403678833975529617163471294436.

$$0.2350403678833975529617163471294436+0.8746197071393957^{2}$$

Calculate 0.8746197071393957 to the power of 2 and get 0.76495963211660230160155096117849.

$$0.2350403678833975529617163471294436+0.76495963211660230160155096117849$$

Add 0.2350403678833975529617163471294436 and 0.76495963211660230160155096117849 to get 0.9999999999999998545632673083079336.

$$0.9999999999999998545632673083079336$$

Factor

$$\frac{17 \cdot 73529411764705871659063772669701}{2 ^ {31} \cdot 5 ^ {34}} = 0.9999999999999999$$