Solve sin(40)cos(10)/cos(50)sin(80)

$$\frac{ \sin ( 40 ) \cos ( 10 ) }{ \cos ( 50 ) \sin ( 80 ) }$$

Evaluate

$$\frac{6427876096865393}{6427876096865394}\approx 1$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.6427876096865393 \cdot 0.984807753012208}{0.6427876096865394 \cdot 0.984807753012208}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.6427876096865393}{0.6427876096865394\times 0.984807753012208^{0}}$$

Calculate 0.984807753012208 to the power of 0 and get 1.

$$\frac{0.6427876096865393}{0.6427876096865394\times 1}$$

Multiply 0.6427876096865394 and 1 to get 0.6427876096865394.

$$\frac{0.6427876096865393}{0.6427876096865394}$$

Expand \frac{0.6427876096865393}{0.6427876096865394} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{6427876096865393}{6427876096865394}$$

Factor

$$\frac{6427876096865393}{2 \cdot 37 \cdot 47 \cdot 79 \cdot 241 \cdot 10785773 \cdot 3 ^ {2}} = 0.9999999999999999$$