If $3cot^2x - 7 cosec^2x + 7 = 0,$ then the value of x( 0 ≤ x ≤ 90°) is :
Answer & explanation
Correct answer: option 3
3 cot²x - 7 cosec²x + 7 = 0
{ cosec²x - cot²x = 1 }
3 (cosec²x - 1 ) - 7 cosec²x + 7 = 0
3cosec²x - 7 cosec²x + 4 = 0
- 4 cosec²x + 4 = 0
cosec x = 1
{ we know, cosec 90º = 1 }
So, x = 90º