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If tanA = 1/5 find tan2A
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3 votes
If tanA = 1/5 find tan2A

User Hynek Bernard
by
6.9k points

1 Answer

3 votes

Answer:

tan2A =
(5)/(12)

Explanation:

Using the trigonometric identity

tan2A =
(2tanA)/(1-tan^2A), thus

tan2A =
(2((1)/(5)) )/(1-((1)/(5))^2 )

=
((2)/(5) )/(1-(1)/(25) )

=
((2)/(5) )/((24)/(25) )

=
(2)/(5) ×
(25)/(24) =
(5)/(12)

User Anquegi
by
6.9k points
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