Determine if the following is an identity.
-$$\tan ^ { 2 } x = \sec ^ { 2 } x - \sin ^ { 2 } x - \cos ^ { 2 } x$$
A) Not an identity
B) Identity

Name: Determine if the following is an identity. -\[\tan ^ { 2 } x = \sec ^ { 2 } x - \sin ^ { 2 } x - \cos ^ { 2 } x\] A) Not an identity B) Identity
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Question

Quizplus · Accepted Answer

The given equation can be simplified using the Pythagorean identity $\sin^2 x + \cos^2 x = 1$. Substituting this into the equation gives $\tan^2 x = \sec^2 x - 1$, which is another identity.

Determine If the Following Is an Identity tan⁡2x=sec⁡2x−sin⁡2x−cos⁡2x\tan ^ { 2 } x = \sec ^ { 2 } x - \sin ^ { 2 } x - \cos ^ { 2 } xtan2x=sec2x−sin2x−cos2x

Determine If the Following Is an Identity $\tan ^ { 2 } x = \sec ^ { 2 } x - \sin ^ { 2 } x - \cos ^ { 2 } x$