Question

13. If tan0 + cot0 = 5 then find the value of tan^20 + cot^20.​

Answer 1

Answer:

Given tan0 +cot0=5....(1)

Then, tan^20+cot^20 =sin^20/cos^20 +cos^20/sin^20

=(sin^40+cos^40)/sin^20×cos^20

= 1/cos^20×sin^20

Hence,from the eqn. (1) we will get 1/sin0×cos0=5 after solving it,

So,1/cos^20×sin^20=25