Solve sin(25)cos(65)+cos(25)sin(65)

$$\sin ( 25 ) \cos ( 65 ) + \cos ( 25 ) \sin ( 65 )$$

Evaluate

$$0.9999999999999998885884691555863236$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.42261826174069944 \cdot 0.42261826174069944 + 0.9063077870366499 \cdot 0.9063077870366499$$

Multiply 0.42261826174069944 and 0.42261826174069944 to get 0.1786061951567303400615833404163136.

$$0.1786061951567303400615833404163136+0.9063077870366499\times 0.9063077870366499$$

Multiply 0.9063077870366499 and 0.9063077870366499 to get 0.82139380484326954852688581517001.

$$0.1786061951567303400615833404163136+0.82139380484326954852688581517001$$

Add 0.1786061951567303400615833404163136 and 0.82139380484326954852688581517001 to get 0.9999999999999998885884691555863236.

$$0.9999999999999998885884691555863236$$

Factor

$$\frac{521 \cdot 533162721262529264549194474081 \cdot 3 ^ {2}}{2 ^ {32} \cdot 5 ^ {34}} = 1\frac{2.8823037615171176 \times 10^{17}}{2.5 \times 10^{33}} = 1.0000000000000002$$