Question

Evaluate sin57°40'.

0.8425
0.8450
0.8992

Answer 1

The answer is 0.8450, as that is what the exact number rounds to.

Answer 2

`\text{sin}(57^(\circ)40')\approx 0.8450`

Explanation:

We are asked to evaluate
`\text{sin}(57^(\circ)40')`.

We can write our given expression as:

`\text{sin}(57+(40)/(60)^(\circ))`

`\text{sin}(57+(2)/(3)^(\circ))`

`\text{sin}(57+0.67^(\circ))`

`\text{sin}(57.67^(\circ))`

Now let us evaluate our expression.

`\text{sin}(57.67^(\circ))=0.8449819`

`\text{sin}(57.67^(\circ))\approx 0.8450`

Therefore, option B is the correct choice.