Solve left(sin(45cos(30))right)^2/1+tan(45)

$$\frac{ { \left( \sin ( 45 \cos ( 30 ) ) \right) }^{ 2 } }{ 1+ \tan ( 45 ) }$$

Evaluate

$$0.19777578330595143395958799081122$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.6289289042585838 ^ {2}}{1 + \tan(45)}$$

Calculate 0.6289289042585838 to the power of 2 and get 0.39555156661190286791917598162244.

$$\frac{0.39555156661190286791917598162244}{1+\tan(45)}$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{0.39555156661190286791917598162244}{1+1}$$

Add 1 and 1 to get 2.

$$\frac{0.39555156661190286791917598162244}{2}$$

Expand \frac{0.39555156661190286791917598162244}{2} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{39555156661190286791917598162244}{200000000000000000000000000000000}$$

Reduce the fraction \frac{39555156661190286791917598162244}{200000000000000000000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{9888789165297571697979399540561}{50000000000000000000000000000000}$$