Please help here☻ Trigo question

Question

anonymous · Answer

attachment

anonymous · Answer

f(theta)=g(theta)

anonymous · Answer

@mani, do you know how to solve this?

anonymous · Answer

i just gave you the solution....

anonymous · Answer

So the equation is fx = gx?

anonymous · Answer

yes.
 2sin(theta)-1 - 3cos(theta)-2 =0

callisto · Answer

Then,  2sin(theta) - 3cos(theta)-3 =0
Not sure what the next step is...

phi · Answer

If you actually want to solve this, you could use the substitutions
$$ sin(x)=\frac{2 tan(x/2)}{1+tan^2(x/2)} $$
and
$$ cos(x)=\frac{1-tan^2(x/2)}{1+tan^2(x/2)} $$

also, we can see by inspection that pi (and 2n pi + pi) is one of the solutions.

callisto · Answer

But it requires us to find the equation...

phi · Answer

@Callisto you found the answer
2sin(theta) - 3cos(theta)-3 =0
the 2 curves equal each other at their intersection points.  I just thought you were curious as to how to actually find the intersection points (not required for this problem).

callisto · Answer

Sorry, because someone has different answer as that. http://openstudy.com/study#/updates/4f880554e4b0505bf0874040