How do you find the exact value of sec(arctan(12/5))

Marco Hudson

Marco Hudson

Answered question

2022-08-11

How do you find the exact value of sec ( arctan ( 12 5 ) )?

Answer & Explanation

Marlie Frazier

Marlie Frazier

Beginner2022-08-12Added 14 answers

Let arctan ( 12 5 ) = α
then tan α = 12 5
and hence sec α = 1 + tan 2 α
= 1 + ( 12 5 ) 2 = 1 + 144 25
= 169 25 = 13 5
Hence sec ( arctan ( 12 5 ) ) = 13 5

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