why is my answer wrong? c3 trig question

Synikk

cot^2(x) +1=cosec^2(x)
use that identity from the start

Reply 2

FelizFu

I am still looking for where you went wrong, but i would say it is better to use identity cot^2(x)=cosec^2(x)-1 and then get a quadratic equation of cot

Reply 3

HarryDowling

4

then put into double brackets after simplifying

Reply 4

FelizFu

just remind you the denominator=0 will never be considered

Original post by Synikk

...

In addition to above, don't set the denominator as 0. What happens when you divide by 0?

Reply 6

Synikk

OP

edit: I understand how to do it with the identity and that it's easier, i already did it that way but was exploring another way

Thanks for the responses, i realised my mistake with the numerator (i missed two values that were in range with sin 3(theta) = 1/3. But can someone please explain to me why my equating my denominator to zero is wrong?

Original post by Synikk

edit: I understand how to do it with the identity and that it's easier, i already did it that way but was exploring another way

Thanks for the responses, i realised my mistake with the numerator (i missed two values that were in range with sin 3(theta) = 1/3. But can someone please explain to me why my equating my denominator to zero is wrong?