Respuesta :

Answer:

The answer is option C

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

- 3

Hope this helps you

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