If cosecθ = 3x
cotθ = \(\frac{3}{x}\) (x\(\neq \)0°)
find, 6(x2-\(\frac{1}{x^2}\))
Answer & explanation
Correct answer: option 1
cosec2θ - cot2θ = 1 (we know)
(3x)2 - (\(\frac{3}{x}\))2 = 1
9x2-\(\frac{9}{x^2}\) = 1
x2-\(\frac{1}{x^2}\) = \(\frac{1}{9}\)
Put in find
6(\(\frac{1}{9}\))
= \(\frac{2}{3}\)