Given sinx = 3/5 and x is in quadrant 2, what is the value of tan(x/2)?

Question

mertsj · Answer

Find x

anonymous · Answer

mertsj · Answer

Do you have a calculator?

anonymous · Answer

I don't have batteries :(

anonymous · Answer

Actually, wait! I can use the remote batteries... One sec

anonymous · Answer

READY! @Mertsj So how do I type it in the calculator?

mertsj · Answer

Depends on the calculator.  
Try this:  Set calculator to degrees.  Type 2nd function sin .6 enter

anonymous · Answer

How do I set it degrees?

anonymous · Answer

I'm sorry... I haven't used mine in awhile!

mertsj · Answer

It may already be in degrees.  Type sin 30 enter and see what you get.

anonymous · Answer

-.9880316241

mertsj · Answer

Then it is not in degrees.

mertsj · Answer

Do you have a DRG button on your calculator?

anonymous · Answer

not that I see... its a TI-84

mertsj · Answer

mertsj · Answer

Use that calculator.

anonymous · Answer

okay... so how should i write it in?

mertsj · Answer

Type inv sin .6 enter

anonymous · Answer

the "sin" went away and sin^-1 replaced it... should i still click it?

mertsj · Answer

sin^-1 is inverse sin  so yes/...

anonymous · Answer

arcsin(.6) = 36.8698976458

mertsj · Answer

Yes.  But that is not in the second quadrant so find 180-36.9

anonymous · Answer

143.1

mertsj · Answer

Yes.  That is x.  divide that by 2

anonymous · Answer

71.55

mertsj · Answer

Now find the tangent of that angle.

anonymous · Answer

rounded up to 3

mertsj · Answer

There you go.