Question

For which angles (given in radians and degrees) is the percent difference between x and sin(x)...

For which angles (given in radians and degrees) is the percent difference between x and sin(x) less than 1.0%?

1 degree or 0.0175 radians

5 degrees or 0.0873 radians

10 degrees or 0.1745 radians

15 degrees or 0.2618 radians

None of these have a percent difference less than 1.0% because the angles have to be really small.

Homework Answers

Answer #1

Given:

For which angles (given in radians and degrees) is the percent difference between x and sin(x) less than 1.0%?

1 degree or 0.0175 radians

5 degrees or 0.0873 radians

10 degrees or 0.1745 radians

15 degrees or 0.2618 radians

None of these have a percent difference less than 1.0% because the angles have to be really small.

  

We want ---    . You have to have your calculator in radians mode and use the radian values :

Try --- ---    is true .

Try --- ---    is true .

Try --- ---    is true .

try --- ---    is not less than .

Of the choices , we then have the percentage difference between and   is less than 1% only for the first three choices :

equivalent to   ,

  equivalent to   , and

equivalent to    ---- SOLUTION .

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