Solve sin(50^circ)/cos(50^circ)*cos(50^circ)

$$\frac{ \sin ( 50 ^ { \circ } ) }{ \cos ( 50 ^ { \circ } ) } \times \cos ( 50 ^ { \circ } )$$

Evaluate

$$0.766044443118978$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.766044443118978}{0.6427876096865394} \cdot 0.6427876096865394$$

Expand \frac{0.766044443118978}{0.6427876096865394} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7660444431189780}{6427876096865394}\times 0.6427876096865394$$

Reduce the fraction \frac{7660444431189780}{6427876096865394} to lowest terms by extracting and canceling out 18.

$$\frac{425580246177210}{357104227603633}\times 0.6427876096865394$$

Convert decimal number 0.6427876096865394 to fraction \frac{3213938048432697}{10000000000}. Reduce the fraction \frac{3213938048432697}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{425580246177210}{357104227603633}\times \frac{3213938048432697}{5000000000000000}$$

Multiply \frac{425580246177210}{357104227603633} times \frac{3213938048432697}{5000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{425580246177210\times 3213938048432697}{357104227603633\times 5000000000000000}$$

Do the multiplications in the fraction \frac{425580246177210\times 3213938048432697}{357104227603633\times 5000000000000000}.

$$\frac{1367788545850289065266220235370}{1785521138018165000000000000000}$$

Reduce the fraction \frac{1367788545850289065266220235370}{1785521138018165000000000000000} to lowest terms by extracting and canceling out 3571042276036330.

$$\frac{383022221559489}{500000000000000}$$

Factor

$$\frac{4728669401969 \cdot 3 ^ {4}}{2 ^ {14} \cdot 5 ^ {15}} = 0.766044443118978$$