Question

What is the value of sec²0 - tan² 0​

Answer 1

Answer:

From the trigonometric identity,

1 + tan²0 = sec²0

Hence,

sec²0 - tan²0 = 1.

1 is the correct answer.

Answer 2

Answer:

1 is the required value of $sec^{2}0 -tan^{2} 0$

Step-by-step explanation:

Explanation:

We have $sec^{2}0 -tan^{2} 0$

So we know that

$1+tan^{2}x = sec^{2}x$  

(from trigonometric indentities)

Step1:

Let  $sec^{2}0 -tan^{2} 0$ be equation (i)

Now ,  put the value of $sec^{2}0 = 1+ tan^{2} 0$  in equation(i)

We get ,

⇒ $(1+tan^{2} 0) - tan^{2} 0$

Now open the bracket

∴$1+tan^{2} 0 - tan^{2} 0$

Here we see that $tan^{2} 0$ and $tan^{2}0$ are cancel out .

⇒ 1

Final answer :

Hence , the required value of $sec^{2}0 -tan^{2} 0$ is 1.