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

1.	If tan α = 5/12, find the value of sec α.
Answer» Tan α = 5/12 From trig ratio [triangle] Tan alpha = Opposite side/Adjacent side = 5/12 Hence, Hypotenuse = √(5² + 12²) = √(25+144) = √169 = 13 Sec α = 1/cos α = hypotenuse/adjacent side = 13/12 Sec α = 13/12

Answer»

Tan α = 5/12

From trig ratio [triangle] Tan alpha = Opposite side/Adjacent side = 5/12

Hence, Hypotenuse = √(5² + 12²) = √(25+144) = √169 = 13

Sec α = 1/cos α = hypotenuse/adjacent side = 13/12

Sec α = 13/12

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

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