Solve 3.5sin35^circ/sin25^circ

$$\frac { 3.5 \sin 35 ^ { \circ } } { \sin 25 ^ { \circ } }$$

Evaluate

$$\frac{50187938180716525}{10565456543517486}\approx 4.750191151$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3.5 \cdot 0.573576436351046}{0.42261826174069944}$$

Multiply 3.5 and 0.573576436351046 to get 2.007517527228661.

$$\frac{2.007517527228661}{0.42261826174069944}$$

Expand \frac{2.007517527228661}{0.42261826174069944} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{200751752722866100}{42261826174069944}$$

Reduce the fraction \frac{200751752722866100}{42261826174069944} to lowest terms by extracting and canceling out 4.

$$\frac{50187938180716525}{10565456543517486}$$

Factor

$$\frac{7 \cdot 421 \cdot 25943 \cdot 26257841 \cdot 5 ^ {2}}{2 \cdot 3 \cdot 13 \cdot 101 \cdot 55843 \cdot 24016159} = 4\frac{7926112006646584}{10565456543517486} = 4.750191151134847$$