Complete the identity.
-$\sec ^ { 4 } x + \sec ^ { 2 } x \tan ^ { 2 } x - 2 \tan ^ { 4 } x =$ ?
A) $3 \sec ^ { 4 } x - 2$
B) $4 \sec ^ { 4 } x$
C) $\sec ^ { 4 } x + 2$
D) $\tan ^ { 2 } x - 1$

Question

Quizplus · Accepted Answer

Using trigonometric identities, we can rewrite the given expression as $\sec^4 x + \sec^2 x (\sec^2 x - 1) - 2(\sec^2 x - 1)^2$. Simplifying this expression leads to $3\sec^4 x - 2$.

Complete the Identity sec⁡4x+sec⁡2xtan⁡2x−2tan⁡4x=\sec ^ { 4 } x + \sec ^ { 2 } x \tan ^ { 2 } x - 2 \tan ^ { 4 } x =sec4x+sec2xtan2x−2tan4x=

Complete the Identity $\sec ^ { 4 } x + \sec ^ { 2 } x \tan ^ { 2 } x - 2 \tan ^ { 4 } x =$