Maths trig

Hi I have uploaded the question below
How I did it was I draw the triangle and I guessed that it was right angled with A=90 with that I proved that the triangle was also iscoseles with B=C and then Γ= 45
Is this method correct?

Youve not uploaded the question, and it helps to see what you actually did.

In a triangle ABT the relation (sinA + sinB + sinT) (sinA + sinB - sinT) = 3sinAsinB
holds.
Determine the measure of the angle T

If thats the full question, cant see any reason to assume its a right triangle? Where is it from/what did you do?

Theres a fairly obvious solution just by spotting.

i cant see it, what is the obvious solution?

Why not have a bit of a think and as in #2, can you upload what you tried?

Where is the question from? I suspect a proper solution would use the sin rule and a bit of algebra.

Anyway If you could check this question out too please
I wrote the question and my solution please check this specific solution I have done because this is how we were asked to do the question with increasing and decreasing

Dont really undesrtand your descreasing argument at the start for x>0
https://www.desmos.com/calculator/9urentsdnp

so its increasing
but how am i going to prove the inequality?