How do I find the value of cos 11pi / 6?

Destiney Rivers

Destiney Rivers

Answered question

2023-02-01

How do I find the value of cos 11pi / 6?

Answer & Explanation

Olivia Gallegos

Olivia Gallegos

Beginner2023-02-02Added 7 answers

Calculate cos ( 11 π 6 ) = cos t
cos 2 t = cos ( 22 π 6 ) = cos ( - 2 π 6 + 12 ( 2 π ) ) =
= cos ( - π 3 ) = cos ( π 3 ) = 1 2
Use trig identity: cos 2 t = 2 cos 2 t - 1
2 cos 2 t = 1 + 1 2 = 3 2
cos 2 t = 3 4
cos ( 11 π 6 ) = cos t = ± 3 2
Only the affirmative response is acceptable because the arc (11pi)/6 is situated in Quadrant IV.
cos ( 11 π 6 ) = 3 2

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