Question

Prove the following indenties

Answer 1

(1 - cos^2A) cosec^2A 

⇒ (1 -cos^2A) cosec^2A        [ We know, 1 - cos^2A= sin^2A ]



⇒  (sin^2A)cosec^2A

⇒ $\frac{height^2}{hypotenuse^2}$×$\frac{hypotenuse^2}{height^2}$

⇒1 



Hence, proved.


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Answer 2

1-cos^(2)A=sin^(2)A
Cosec^(2)A=1/sin^(2)A

(1-cos^2A)cosec^2A=1
L.H.S
Sin^2A*1/sin^2A
=1 proved