Solve 52*sin(42^circ)/40

$$\frac{ 52 \times \sin ( 42 ^ { \circ } ) }{ 40 }$$

Evaluate

$$0.86986978826651566$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{52 \cdot 0.6691306063588582}{40}$$

Multiply 52 and 0.6691306063588582 to get 34.7947915306606264.

$$\frac{34.7947915306606264}{40}$$

Expand \frac{34.7947915306606264}{40} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{347947915306606264}{400000000000000000}$$

Reduce the fraction \frac{347947915306606264}{400000000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{43493489413325783}{50000000000000000}$$

Factor

$$\frac{13 \cdot 47 \cdot 757 \cdot 94034487529}{2 ^ {16} \cdot 5 ^ {17}} = 0.8698697882665157$$