Thread: Radians

Hi, need help understanding 2 problems.

Give all the solutions to the following problems, answer in radians.



and




Thanks.

Originally Posted by Smifsret

Hi, need help understanding 2 problems.

Give all the solutions to the following problems, answer in radians.



and




Thanks.

You need to know what angle for sine gives the value . This happens to be

Solve for

Thanks, is the second one pi / 4 then?

Does pi/4 count as an answer (if its right) or do they want me to write a number?

sin(3x)= pi/3

x1. sin(x) = pi/9 + 2 * pi * n?
x2. sin(x) = pi-pi/9 + 2 * pi * n?



Is that correct?

Ahh the question is to answer EXACTLY in radians and I was told it isn't exactly unless you write it like that.

Also the formula + n * 2 * pi I was told to add because n is the number of times it has gone around the circle.

Hope I explained that decently.


But I understand that I shouldn't have addad sin to the solution, thank you, as always I wasn't aware that it mattered.

For the second part

x1 = pi/2

x2 = -pi/2

Correct?

Originally Posted by Smifsret

Ahh the question is to answer EXACTLY in radians and I was told it isn't exactly unless you write it like that.

Also the formula + n * 2 * pi I was told to add because n is the number of times it has gone around the circle.

Hope I explained that decently.


But I understand that I shouldn't have addad sin to the solution, thank you, as always I wasn't aware that it mattered.

I'm sorry, I should have realized that your x1 and x2 were solutions to the first problem, not solutions to problems 1 and 2.

In that case, yes, those solutions are correct (with x replacing your sin(x).)

-Dan

You wrote that

i think that its



Or am I completely wrong?

Originally Posted by Smifsret

You wrote that

i think that its



Or am I completely wrong?

My apologies again. You are correct.

I'm going back to bed.

-Dan

Thank you very much for the help, does that mean that my previous answers were correct?