Solve (cos(37-23)/cos(37+23))

$$( \frac{ \cos ( 37-23 ) }{ \cos ( 37+23 ) } )$$

Evaluate

$$1.940591452551993$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(\frac{0.9702957262759965}{\cos(37 + 23)})}$$

Add 37 and 23 to get 60.

$$\frac{0.9702957262759965}{\cos(60)}$$

Get the value of \cos(60) from trigonometric values table.

$$\frac{0.9702957262759965}{\frac{1}{2}}$$

Divide 0.9702957262759965 by \frac{1}{2} by multiplying 0.9702957262759965 by the reciprocal of \frac{1}{2}.

$$0.9702957262759965\times 2$$

Multiply 0.9702957262759965 and 2 to get 1.940591452551993.

$$1.940591452551993$$