Question

Find sec². if tan =
7/24​

Answer 1

Answer:

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Answer 2

$if \: tan \: = \frac{7}{24}$

By using the Identity

$1 + {tan}^{2} = {sec}^{2} \\ = 1 + {( \frac{7}{24}) }^{2} = {sec}^{2} \\ 1 + \frac{49}{576} = {sec}^{2} \\ = \frac{576 + 49}{576} = {sec}^{2}$

Therefore,

${sec}^{2} = \frac{625}{576} \\ sec = \frac{25}{24}$

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