Solve 1395sin(76)/1085+1395cos(76)

$$\frac{ 1395 \sin ( 76 ) }{ 1085+1395 \cos ( 76 ) }$$

Evaluate

$$\frac{87326615364839685}{91772970603970111}\approx 0.951550492$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1395 \cdot 0.9702957262759965}{1085 + 1395 \cdot 0.2419218955996679}$$

Multiply 1395 and 0.9702957262759965 to get 1353.5625381550151175.

$$\frac{1353.5625381550151175}{1085+1395\times 0.2419218955996679}$$

Multiply 1395 and 0.2419218955996679 to get 337.4810443615367205.

$$\frac{1353.5625381550151175}{1085+337.4810443615367205}$$

Add 1085 and 337.4810443615367205 to get 1422.4810443615367205.

$$\frac{1353.5625381550151175}{1422.4810443615367205}$$

Expand \frac{1353.5625381550151175}{1422.4810443615367205} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{13535625381550151175}{14224810443615367205}$$

Reduce the fraction \frac{13535625381550151175}{14224810443615367205} to lowest terms by extracting and canceling out 155.

$$\frac{87326615364839685}{91772970603970111}$$

Factor

$$\frac{5 \cdot 4129 \cdot 8731 \cdot 5981123 \cdot 3 ^ {4}}{31 \cdot 2960418406579681} = 0.9515504923740794$$