Question

4 tan square A - 4 sec square A is equal to

Answer 1

The value of $4\tan^2 A-4\sec^2 A=-4$

Step-by-step explanation:

We have,

$4\tan^2 A-4\sec^2 A$

To find, the value of $4\tan^2 A-4\sec^2 A=?$

∴ $4\tan^2 A-4\sec^2 A$

Taking (- 4) as common, we get

$=-4(-\tan^2 A+\sec^2 A)$

$=-4(\sec^2 A-\tan^2 A)$

$=-4(1)$

= - 4

We know that,

Trigonometric identity,

$\sec^2 \theta-\tan^2 \theta=1$

Hence, the value of $4\tan^2 A-4\sec^2 A=-4$

Answer 2

Answer:

-4

Step-by-step explanation:

4tan² A − 4sec² A=4tan² A−4(1−tan²A)

=4tan² A−4−4tan²A

=−4

Hence, the answer is −4.