If tan α =5/12 find the value of sec α. - Mathematics

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Sum

If tan α =`5/12` find the value of sec α.

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Solution

Given,
tan α =`5/12`

We know, sec2α = 1 +tan2 α

⇒ sec 2 α =`1+(5/12)^2 =169/144`

⇒ sec α `=± sqrt169/144 =± 13/12`

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