Graphing sine and cosine

[NK8485]

We have just begun graphing sine and cosine in my trigonometry class. I'm so confused about how to work through these problems that I'm being given though.

I understand that y=sinx is a periodic function with a period of 2Pi, meaning it repeats at every 2Pi interval.

I understand that the domain is infinite and the range is [-1, 1].

Where my trouble is coming from is when it asks to use a graph and list all the values that will satisfy an ordered pair.

For instance this question I'm working on says:

Use the graph of y=sin x, list all values on the interval [-3Pi/2, 7Pi/4] that satisfy the ordered pair (x, 1/(√2) )

I am completely lost on what to do.

 

[Deleted member 4993]

We have just begun graphing sine and cosine in my trigonometry class. I'm so confused about how to work through these problems that I'm being given though.

I understand that y=sinx is a periodic function with a period of 2Pi, meaning it repeats at every 2Pi interval.

I understand that the domain is infinite and the range is [-1, 1].

Where my trouble is coming from is when it asks to use a graph and list all the values that will satisfy an ordered pair.

For instance this question I'm working on says:

Use the graph of y=sin x, list all values on the interval [-3Pi/2, 7Pi/4] that satisfy the ordered pair (x, 1/(√2) )

I am completely lost on what to do.

sin^-1(1/√2) = ? within the given domain.

remember

sin(Θ) = sin[$\displaystyle \displaystyle{(2n - 1)\pi - }$ Θ]

 

[NK8485]

sin^-1(1/√2) = ? within the given domain.

remember

sin(Θ) = sin[$\displaystyle \displaystyle{(2n - 1)\pi - }$ Θ]

Whattttt? I don't get what you did there at all.

I am able to click and have the computer work the problem with me but all it has me do is select what the graph looks like and then asks for the ordered pairs that satisfy the question.

I am having a tough time figuring out how to make the graph and after making the graph figuring out which ordered pairs will satisfy it.

 

[Deleted member 4993]

Whattttt? I don't get what you did there at all.

I am able to click and have the computer work the problem with me but all it has me do is select what the graph looks like and then asks for the ordered pairs that satisfy the question.

I am having a tough time figuring out how to make the graph and after making the graph figuring out which ordered pairs will satisfy it.

Have you studied unit circle and values of sine, cosine and tangents at 30, 45, 60, 90 etc. angles?