Question

Find the value of sin 50°. Round to the nearest ten-thousandth.

Answer 1

the answer is 0.7660

Answer 2

`\text{sin}(50^(\circ))\approx 0.7660`

Explanation:

We are asked to find the value of
`\text{sin}(50^(\circ))` and round our answer to the nearest ten-thousandth.

Using the calculator we get the value of
`\text{sin}(50^(\circ))=0.766044443119`.

To round our answer to the nearest ten-thousandth means, we need to round our answer to 4 places after decimal.

We can see that the ten-thousandth value is 0 and its next digit is 4. Since the first digit dropped is less than 5, therefore, our last digit kept will remain unchanged that is 0.

Upon rounding our answer to the nearest ten-thousandth we will get,

`\text{sin}(50^(\circ))\approx 0.7660`

Therefore, the value of
`\text{sin}(50^(\circ))` is approximately
`0.7660`.