Question

If tantheta+1/tan theta=2 then find the value of cot2theta +1/cot2theta

Answer 1

tan²β+1=2tanβ

from this we get (tanβ-1)²=0

tanβ=1.hence β=45.

now cot 2(45)+(1/cot2(45))=cot 90+(1/cot 90) which gives infinite value.