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?

Reply 1

mqb2766

21

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 5 months ago)

Reply 2

mikeft

OP

8

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

Reply 3

mqb2766

21

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 5 months ago)

Reply 4

mikeft

OP

8

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?

Reply 5

mqb2766

21

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 5 months ago)

Reply 6

mikeft

OP

8

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