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

unabuenanuevasld 2022-11-19 Answered
How do you find the exact value of csc ( 17 π 6 )?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Kayleigh Cross
Answered 2022-11-20 Author has 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
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions