Question

f sec a =x write the value of tan a​

Answer 1

Answer:

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Answer 2

Answer:

The value of tan a is $\sqrt{x^{2}-1}$.

Step-by-step explanation:

The trigonometric identities for tangent of an angle and secant of an angle is:

$tan^{2} \theta + 1 = sec^{2} \theta$

It is given that Sec x = a.

Then the value of tan a is:

$tan^{2} \theta + 1 = sec^{2} \theta\\tan^{2} a + 1 = sec^{2} a\\tan^{2} a = sec^{2} a - 1\\tan^{2} a = x^{2}-1\\tan\ a=\sqrt{x^{2}-1}$

Thus, the value of tan a is $\sqrt{x^{2}-1}$.