Question

If sec A – tan A = 1/6. Find cotA.​

Answer 1

secA-tanA=1/6

secA+tanA=6. ( since , sec²A-tan²A=1,( secA+tanA)(secA-tanA)=1 )

By solving the above equations we get

-2tanA=1/6-6=-35/6

:.tanA=35/12

:. cotA=12/35

hope you got it