Question

if 3x =cosec theta and 3/x =cot theta find 3 (x^2 -1/x^2)

Answer 1

since it is given that 3x=cosec theta and 3/x=cot theta
so,x=cosec theta/3 & 1/x=cot theta/3
so,3(cosec theta^2/9 - cot^2/9)
3[1/9(cosec theta^2 - cot theta^2). -(1)
as we know that 1 + cot theta^2=cosec theta^2
1=cosec theta^2 - cot theta ^2. -(2)
putting value of (2) in (1)
1/3(1)
1/3

I would suggest u to first write the given solution in copy as given for better clearance of your doubts and if not understood then type it.

THANK YOU

Answer 2

so 1/3 is the answer...
hope it helped you ✌✌