if cos^4theta+cos^2theta=1.Find the value of cot^4theta-cot^2theta=1​

1 thought on “if cos^4theta+cos^2theta=1.Find the value of cot^4theta-cot^2theta=1​”

1. Answer:

   are we have to prove the equation…?

   Step-by-step explanation:

   let’s take theta as x,

   cos⁴x+cos²x=1

   cos⁴x=1-cos²x

   cos⁴x=sin²x

   cos²x=sin²x/cos²x

   cos²=tan²x

   tan²x . sec²x=1 ….(1)

   again,from,

   tan²x=cos²x

   cot²x=sec²x ….(2)

   so, cot⁴x-cot²x

   =sec⁴x-sec²x [from eqn. 2]

   =sec²x(sec²x-1)

   =sec²x tan²x

   =1 [from eqn (1)]

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