Solve sin27/3*cos3007

$$\frac { \sin 27 } { 3 } \times \cos 3007$$

Evaluate

$$-\frac{1366091515557824028364120313033}{15000000000000000000000000000000}\approx -0.091072768$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.45399049973954675}{3} \cdot -0.6018150231520472$$

Expand \frac{0.45399049973954675}{3} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{45399049973954675}{300000000000000000}\left(-0.6018150231520472\right)$$

Reduce the fraction \frac{45399049973954675}{300000000000000000} to lowest terms by extracting and canceling out 25.

$$\frac{1815961998958187}{12000000000000000}\left(-0.6018150231520472\right)$$

Convert decimal number -0.6018150231520472 to fraction -\frac{752268778940059}{10000000000}. Reduce the fraction -\frac{752268778940059}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1815961998958187}{12000000000000000}\left(-\frac{752268778940059}{1250000000000000}\right)$$

Multiply \frac{1815961998958187}{12000000000000000} times -\frac{752268778940059}{1250000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1815961998958187\left(-752268778940059\right)}{12000000000000000\times 1250000000000000}$$

Do the multiplications in the fraction \frac{1815961998958187\left(-752268778940059\right)}{12000000000000000\times 1250000000000000}.

$$\frac{-1366091515557824028364120313033}{15000000000000000000000000000000}$$

Fraction \frac{-1366091515557824028364120313033}{15000000000000000000000000000000} can be rewritten as -\frac{1366091515557824028364120313033}{15000000000000000000000000000000} by extracting the negative sign.

$$-\frac{1366091515557824028364120313033}{15000000000000000000000000000000}$$