Solve 1/cos(71^circ)*sin(29^circ)

$$\frac{ 1 }{ \cos ( 71 ^ { \circ } ) } \times \sin ( 29 ^ { \circ } )$$

Evaluate

$$\frac{24240481012316853}{16278407722857838}\approx 1.489118679$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{0.32556815445715676} \cdot 0.48480962024633706$$

Expand \frac{1}{0.32556815445715676} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{100000000000000000}{32556815445715676}\times 0.48480962024633706$$

Reduce the fraction \frac{100000000000000000}{32556815445715676} to lowest terms by extracting and canceling out 4.

$$\frac{25000000000000000}{8139203861428919}\times 0.48480962024633706$$

Convert decimal number 0.48480962024633706 to fraction \frac{24240481012316853}{10000000000}. Reduce the fraction \frac{24240481012316853}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{25000000000000000}{8139203861428919}\times \frac{24240481012316853}{50000000000000000}$$

Multiply \frac{25000000000000000}{8139203861428919} times \frac{24240481012316853}{50000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25000000000000000\times 24240481012316853}{8139203861428919\times 50000000000000000}$$

Do the multiplications in the fraction \frac{25000000000000000\times 24240481012316853}{8139203861428919\times 50000000000000000}.

$$\frac{606012025307921325000000000000000}{406960193071445950000000000000000}$$

Reduce the fraction \frac{606012025307921325000000000000000}{406960193071445950000000000000000} to lowest terms by extracting and canceling out 25000000000000000.

$$\frac{24240481012316853}{16278407722857838}$$

Factor

$$\frac{2693386779146317 \cdot 3 ^ {2}}{2 \cdot 46727 \cdot 174186313297} = 1\frac{7962073289459014}{16278407722857838} = 1.4891186794810907$$