If cosec θ = 2x and cot θ = 2/x find the value of 2
.
Given: 2x = cosec θ , and 2/x = cot θ
Consider 2(x2 – (1/ x2)) = 
= 
= (1/2)(cosec2 θ – cot2 θ)
= 1/2 (∵ cosec2 x – cot2 x = 1)
36
If cosec θ = 2x and cot θ = 2/x find the value of 2.
Given: 2x = cosec θ , and 2/x = cot θ
Consider 2(x2 – (1/ x2)) =
=
= (1/2)(cosec2 θ – cot2 θ)
= 1/2 (∵ cosec2 x – cot2 x = 1)