# 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? Original post by mikeft
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.
(edited 3 weeks ago) Original post by mqb2766
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 Original post by mikeft
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.
(edited 3 weeks ago) Original post by mqb2766
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? Original post by mikeft
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.

Edit - you can also get the answer using some double angle/sum-to-product/product-to-sum identities, but its a bit of a slog.
(edited 3 weeks ago) Original post by mqb2766
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 Original post by mikeft
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 Original post by mqb2766
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? Original post by mikeft
so its increasing
but how am i going to prove the inequality?

If youve proved that the arguments are ordered (<) and you know the function is increasing, then ...
(edited 3 weeks ago)