Find the exact value. tan(6pi)

Alonzo Odom 2022-08-01 Answered
Find the exact value.
tan ( 6 π )
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Answers (2)

minotaurafe
Answered 2022-08-02 Author has 22 answers
tan ( 6 π ) = tan ( 3 ( 2 π ) )
= tan ( 2 π ) = tan 0 = 0
tan ( k 2 π ) = 0 for k=0,1,2,3,4,....(multiples of 2 π )
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Francisco Proctor
Answered 2022-08-03 Author has 6 answers
An identity states that tan θ = tan ( θ ± 2 π n ),where n is an integer, as with any other trig function.
So, tan ( 6 π ) = tan ( 0 + 2 π ( 3 ) ) = tan ( 0 ) = 0 from the unit circle.
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