Question

(1-cos^2theeta)cosec^2theeta=?​

Answer 1

Answer:

$(1 - { \cos }^{2} θ) { \cosec}^{2} θ = { \cosec}^{2} θ - { \cosec}^{2} θ { \cos }^{2} θ \\ = { \cosec}^{2} θ - { \cot}^{2} θ$

note that,

cosecθcosθ=cotθ

this is your answer

hope it helps to you☺️

Answer 2

$1 - {cos}^{2} \alpha = { \sin }^{2}$

Therefore,

${ \sin}^{2} \alpha \times { \csc}^{2} \alpha = 1$

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