Solve 4cos(146^circ)/cos(34^circ)=

$$\frac{ 4 \cos ( 146 ^ { \circ } ) }{ \cos ( 34 ^ { \circ } ) } =$$

Evaluate

$$-\frac{33161502902201664}{8290375725550417}\approx -4$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4 \cdot -0.8290375725550416}{0.8290375725550417}$$

Multiply 4 and -0.8290375725550416 to get -3.3161502902201664.

$$\frac{-3.3161502902201664}{0.8290375725550417}$$

Expand \frac{-3.3161502902201664}{0.8290375725550417} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{-33161502902201664}{8290375725550417}$$

Fraction \frac{-33161502902201664}{8290375725550417} can be rewritten as -\frac{33161502902201664}{8290375725550417} by extracting the negative sign.

$$-\frac{33161502902201664}{8290375725550417}$$

Factor

$$-\frac{33161502902201664}{8290375725550417} = -3\frac{8290375725550413}{8290375725550417} = -3.9999999999999996$$