# Write the value of cosec2 (90° − θ) − tan2θ.

To find: cosec2 (90° θ) tan2θ

cosec (90° – θ) = sec θ

cosec2 (90° – θ) = sec2 θ

cosec2 (90° θ) tan2 θ = sec2 θ – tan2 θ

Now, 1 + tan2 θ = sec2 θ

cosec2 (90° θ) tan2 θ = sec2 θ – tan2 θ

= 1 + tan2 θ – tan2 θ = 1

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