SOLUTION: Evaluate the six trigonometric functions of theta. a. theta= 990 degrees b. theta= 8π (π is a pi symbol) Please give a full explanation. My maths teacher is not o

Algebra ->  Trigonometry-basics -> SOLUTION: Evaluate the six trigonometric functions of theta. a. theta= 990 degrees b. theta= 8π (π is a pi symbol) Please give a full explanation. My maths teacher is not o      Log On


   

Question 741512: Evaluate the six trigonometric functions of theta.
a. theta= 990 degrees
b. theta= 8π
(π is a pi symbol)
Please give a full explanation. My maths teacher is not of great help. Thank you very much in advance; it's greatly appreciated.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate the six trigonometric functions of theta.
a. theta= 990 degrees
b. theta= 8π
***
990º is rotating two 360º revolutions counter-clockwise plus 270º, terminating at 270º
720º+270º=990º
Evaluate functions at 270º:
sin(270º)=-1
cos(270º)=0
tan(270º)=undefined
csc(270º)=-1
sec(270º)=undefined
cot(270º)=0
..
8π is rotating four 2π revolutions counter-clockwise, terminating at 0
Evaluate functions at 0º:
4*2π=8π
sin(0)=0
cos(0)=1
tan(0)=0
csc(0)=undefined
sec(0)=1
cot(0)=undefined