Question

If cosec^2(3x-2)=cot^2(2x+3)+1 than x=?
Plz answer fast
Correct answer will be given BRAINLIEST

Answer 1

x = coseca/3

1/x = cota/3

(x²-1/x²) = (x+1/x)(x-1/x)

= (coseca/3 + cota/3)(coseca/3 - cota/3)

= 1/9 (coseca+ cota)(coseca - cota)

= 1/9 (cosec²a - cot²a)

= 1/9 (cot²a +1 - cot²a)

= 1/9 (1)

= 1/9

I hope you understand the approach.

All the best!