Question

prove that cosec²A (1-cos²A) =1​

Answer 1

Step-by-step explanation:

cosec²A=1/sin²A

1-cos²A=sin²A

1/sin²A×sin²A

=1

Answer 2

L.H.S

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

1-cos^2A/sin^2A

(identity :sin^2A+cos^2A=1)

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

identity use in question

sin^2A/sin^2A=1 R.H.S

L.H.S=R.H.S