Solve 275+858/cos(frac{40pi{180})}

$$\frac{ 275+858 }{ \cos ( \frac{ 40 \pi }{ 180 } ) }$$

Evaluate

$$\frac{566500000000000000}{383022221559489}\approx 1479.026458813$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{275 + 858}{0.766044443118978}$$

Add 275 and 858 to get 1133.

$$\frac{1133}{0.766044443118978}$$

Expand \frac{1133}{0.766044443118978} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{1133000000000000000}{766044443118978}$$

Reduce the fraction \frac{1133000000000000000}{766044443118978} to lowest terms by extracting and canceling out 2.

$$\frac{566500000000000000}{383022221559489}$$

Factor

$$\frac{11 \cdot 103 \cdot 2 ^ {14} \cdot 5 ^ {15}}{4728669401969 \cdot 3 ^ {4}} = 1479\frac{10134313515769}{383022221559489} = 1479.0264588134717$$