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| 1. |
if cosec theta=3x and cot theta=3/x, then find the value of (x²-1/x²) |
| Answer» Cot^2 theta + 1 = cosec^2 theta(3/x)^2 + 1 = (3x)^29/x^2 + 1= 9x^29/x^2 - 9x^2 = -19(1/x^2 - x^2) = -13(1/x^2 - x^2) = -1/3Therefore, 3(x^2 - 1/x^2) = 1/3 | |