1. math questions

2.In triangle ABC, B=65 degrees, b=2 and c=12. How many triangles are possible?

3. Find sin29°42' to four decimal places_

4. Find sec17°8'49" to four decimal places

5.Which of the following statements would give the largest value of theta if theta was less then 90°?
a)7sinTHETA=4
b)5cosTHETA=2
c)4tanTHETA=6
d)8cscTHETA=10
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I tried to put number 3 and 4 into a caluculator but the answers were wrong.

I converted (5) to sintheta=4/7 etc, costheta=2/5.. but I don't know how to finish from there

I am completely lost at number 2

2. 2. one?... ABC ... are you sure thats the whole question?

5. plug in arcsin4/7 (arccos2/5, etc...)into yer calculator...

3. suggestion

#3 & #4 ~ I would suggest converting degrees, minutes, seconds into decimal degrees. For example $\displaystyle 20^{\circ}30'$ would be $\displaystyle 20.5^{\circ}$. Remember, there are 60 minutes in a degree and 60 seconds in a minute (arcminutes and arcseconds, not time mins. and sec.).

4. Hello, ceroseven!

2.In $\displaystyle \Delta ABC\!:\;\;B=65^o,\;\;b=2,\;\;c=12$
How many triangles are possible?
Did you make a sketch?

If such a triangle were possible, it might look like this:
Code:
              C
*
/ \
/   \
/     \
/       \ 2
/         \
/           \
/ 65°         \
B * - - - - - - - * A
12

Law of Sines: . $\displaystyle \frac{\sin C}{c} \:=\:\frac{\sin B}{b}$

So we have: .$\displaystyle \frac{\sin C}{12} \:=\:\frac{\sin 65^o}{2} \quad\Rightarrow\quad \sin C \:=\:\frac{12\sin65^o}{2} \:\approx\:5.44$

Then: .$\displaystyle C \:=\:\arcsin(5.44) \:=\:???$ . . . which does not exist.

Therefore, it is no triangle.