Complete the identity. sec^4 x+sec^2 x tan^2 x-2tan^4 x=?

erkentrs

erkentrs

Answered question

2022-08-03

Complete the identity.
sec 4 x + sec 2 x tan 2 x 2 tan 4 x = ?

Answer & Explanation

Kasen Schroeder

Kasen Schroeder

Beginner2022-08-04Added 21 answers

sec 4 x + sec 2 x tan 2 x 2 tan 4 x
= sec 4 x + sec 2 x ( sec 2 x 1 ) 2 ( sec 2 x 1 ) 2
= sec 4 x + sec 4 x sec 2 x 2 ( sec 4 x 2 sec 2 x + 1 )
= 2 sec 4 x sec 2 x 2 sec 4 x + 4 sec 2 x 2
= 3 sec 2 x 2
or = 3 ( 1 + tan 2 x ) 2

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