find the exact vales of the six trigonometric function of t.

Question

(√3/2,1/2)

Answer 1

Hello Klarissa,

 

Denote (x,y) = (√3/2 , 1/2).

 

 

Since the coordinate is a unit circle coordinate:

 

sin(t) = y = 1/2 ⇒ csc(t) = 2

 

cos(t) = x = √3/2 ⇒ sec(t) = 2/√3 = 2√3/3

 

tan(t) = y / x = (1/2) / √3/2 = 1/√3 = √3/3 ⇒ cot(t) = √3

 

Hope the above helps.  Thank you for posting the question with Wyzant.

 

Kind regards,

Michael Ehlers