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###### Maths trig

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?

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

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.

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.

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

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

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?

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)

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