Question 315384: 1) Evaluate the quadranatal angle csc π.
2)Using circle properties, find the value of tan (-11π/6)
3) Use periodic function to find the value of cos 11π/4
4) Find the value of sin 300 degrees
5) Using unit circle properties, find the value of cos π/3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In the unit circle, x^2 + y^2 = 1
So, x = sqrt= (1-y^2)
and y = sqrt(1-x^2)
and r = 1
-------------------------
1) Evaluate csc π.
Since sin(pi) = 0, csc(pi) is undefined
-------------------------
2)Using circle properties, find the value of
tan (-11π/6) = tan(2pi -11pi/6) = tan(pi/6) = 1/sqrt(3)
------------------------------------------------------------
3) Use periodic function to find the value of
cos (11π/4) = cos((11pi/4)-2pi) = cos(3pi/4) = -cos(pi/4) = -sqrt(2)/2
-----------------------------------
4) Find the value of
sin 300 degrees = sin(-60) = -sin(60) = -sqrt(3)/2
-------------------------------------
5) Using unit circle properties, find the value of
cos (π/3) = 1/2
===========================
Cheers,
Stan H.
|
|
|
