Respuesta :

Answer:

Step-by-step explanation:

answer is -3 because tan^2 theta-sec^2 theta means -1 and when u multiply -1 and 3 u will get -3.

A trigonometric expression is given to us and we need to simplify it and find out the value.

Given Expression :-

[tex]\sf\implies 3(tan^2\theta - sec^2\theta )[/tex]

Using Identity :-

[tex]\sf\implies sec^2\theta - tan^2\theta =1[/tex]

So that ,

[tex]\sf\implies tan^2\theta -sec^2\theta = -1[/tex]

Substitute the value :-

[tex]\sf\implies 3(tan^2\theta - sec^2\theta ) \\\\\sf\implies 3 *(-1) =\boxed{\red{\sf -3}}[/tex]

Hence the required answer is -3 .

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