Question

If 3x=cosec theta and 3/x=cot theta, find the value of 3(x^2-1/x^2)​

Answer 1

Answer:

answer in the attachment

Answer 2

Answer:

$\Huge{\color{m}{\fbox{\textsf{\textbf{Answer:-}}}}}$

3x=cscθ and x3=cotθ

⇒x=3cscθ and x1=3cotθ

3(x2+x21)=3⎝⎜⎜⎜⎜⎛(3cscθ)2+(3cotθ)21⎠⎟⎟⎟⎟⎞

=3(9csc2θ+cot2θ9)

=3(91+cot2θ+cot2θ9)

=3(9cot2θcot4θ+cot2θ+81)

=(3cot2θcot4θ+cot2θ+81)

=3cot2θcot2θ(cot2θ+1)+81

=3cot2θcot2θcsc2θ+81

=3cot2θcot2θcsc2θ+81