How do you find the exact value of csc((17pi)/6)

unabuenanuevasld

unabuenanuevasld

Answered question

2022-11-19

How do you find the exact value of csc ( 17 π 6 )?

Answer & Explanation

Kayleigh Cross

Kayleigh Cross

Beginner2022-11-20Added 19 answers

First find the angle coterminal to 17 π 6 that falls between 0 and 2 π :
17 π 6 2 π = 5 π 6 . So we know that csc ( 17 π 6 ) = csc ( 5 π 6 )
csc ( x ) = 1 sin ( x ) and we know that sin ( 5 π 6 ) = 1 2 because it's from the Unit Circle.
So:
csc ( 17 π 6 ) = csc ( 5 π 6 ) = 1 sin ( 5 π 6 ) = 1 1 2 = 2

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