Question

If 3x=cosec and x cot 3 , find the value of 3(x2- 2 1 x )

Answer 1

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(9cot2θ