Sin (101pi/6)

[DO NOT Give Up]

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Does anyone know the quick way to solve sin (101pi/6)?

Thanks

 

[DrReo]

Does anyone know the quick way to solve sin (101pi/6)?

Thanks

http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/TrigFunctions.aspx
Think about reducing 101 by 6, that will yield you 16 and 5/6. Then solve for sin (5/6) to get your answer

 

[UCfan]

http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/TrigFunctions.aspx
Think about reducing 101 by 6, that will yield you 16 and 5/6. Then solve for sin (5/6) to get your answer

Sine and cosin functions are cyclic. In other words they repeat themselves in every 2*pi angle. So
sin (101pi/6)= sin (5pi/6) ->(101*pi/6) - (16pi)

Sin (5pi/6) is in second quadrant so Sin (5pi/6)= Sin (pi/6) = 1/2.
Remember special triangles (30-60-90) (45-45-90) ,if you do not know the value of functions. Dr. Reo forgot to put pi to his answer.
Hopefully this helps.

 

[DrReo]

Sine and cosin functions are cyclic. In other words they repeat themselves in every 2*pi angle. So
sin (101pi/6)= sin (5pi/6) ->(101*pi/6) - (16pi)

Sin (5pi/6) is in second quadrant so Sin (5pi/6)= Sin (pi/6) = 1/2.
Remember special triangles (30-60-90) (45-45-90) ,if you do not know the value of functions. Dr. Reo forgot to put pi to his answer.
Hopefully this helps.

Yes, sorry about that.