Question

If tan a =5/12 find the value of sec a

Answer 1

This is the answer for your question

Answer 2

The value of sec a is given by

$\sec a=\dfrac{13}{12}$

Step-by-step explanation:

Since we have given that

$\tan a=\dfrac{5}{12}$

As we know the identity:

$sec^2\ a-tan^2\ a=1\\\\sec^2\ a=1+tan^2\ a\\\\sec^2\ a=1+(\dfrac{5}{12})^2\\\\\sec^2\ a=1+\dfrac{25}{144}\\\\\sec^2\ a=\dfrac{144+25}{144}\\\\\sec^2\ a=\dfrac{169}{144}\\\\\sec\ a=\sqrt{\dfrac{169}{144}}\\\\\sec\ a=\dfrac{13}{12}$

Hence, the value of sec a is given by

$\sec a=\dfrac{13}{12}$

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If tan a =5/12 ,find the value of sec a​

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