Solve sin50^circsin70^circ=1/16

$$\sin 50 ^ { \circ } \sin 70 ^ { \circ } = \frac { 1 } { 16 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.766044443118978 \cdot 0.9396926207859083 = \frac{1}{16}$$

Multiply 0.766044443118978 and 0.9396926207859083 to get 0.7198463103929540945584426977174.

$$0.7198463103929540945584426977174=\frac{1}{16}$$

Convert decimal number 0.7198463103929540945584426977174 to fraction \frac{3599231551964770472792213488587}{10000000000}. Reduce the fraction \frac{3599231551964770472792213488587}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{3599231551964770472792213488587}{5000000000000000000000000000000}=\frac{1}{16}$$

Least common multiple of 5000000000000000000000000000000 and 16 is 5000000000000000000000000000000. Convert \frac{3599231551964770472792213488587}{5000000000000000000000000000000} and \frac{1}{16} to fractions with denominator 5000000000000000000000000000000.

$$\frac{3599231551964770472792213488587}{5000000000000000000000000000000}=\frac{312500000000000000000000000000}{5000000000000000000000000000000}$$

Compare \frac{3599231551964770472792213488587}{5000000000000000000000000000000} and \frac{312500000000000000000000000000}{5000000000000000000000000000000}.

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