we are given
[tex] tan^2(\theta)(1-cot^2(\theta)) [/tex]
Firstly , we can distribute tan^2 inside
we get
[tex] =tan^2(\theta)*1-tan^2(\theta)*cot^2(\theta) [/tex]
now, we can simplify it
[tex] =tan^2(\theta)-tan^2(\theta)*cot^2(\theta) [/tex]
we know that
tan=1/cot
so, tan^2 will get cancelled with cot^2
[tex] =tan^2(\theta)-1 [/tex]
so, option-C..............Answer
