Solve 4500*123.3610^-4*cos({left(tan(left(18.510right)^-2/frac{122{2}10^-2})right)}^-1)

$$4500 \times 123.36 { 10 }^{ -4 } \times \cos ( { \left( \tan ( \frac{ { \left(18.510 \right) }^{ -2 } }{ \frac{ 122 }{ 2 } { 10 }^{ -2 } } ) \right) }^{ -1 } )$$

Evaluate

$$-4.56619556150188274592$$

Solution Steps

Evaluate trigonometric functions in the problem

$$4500 \cdot 123.36 {(10)} ^ {-4} \cdot -0.08225600881794716$$

Multiply 4500 and 123.36 to get 555120.

$$555120\times 10^{-4}\left(-0.08225600881794716\right)$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$555120\times \frac{1}{10000}\left(-0.08225600881794716\right)$$

Multiply 555120 and \frac{1}{10000} to get \frac{6939}{125}.

$$\frac{6939}{125}\left(-0.08225600881794716\right)$$

Multiply \frac{6939}{125} and -0.08225600881794716 to get -\frac{14269361129693383581}{3125000000000000000}.

$$-\frac{14269361129693383581}{3125000000000000000}$$

Factor

$$-4.56619556150188274592$$