math(please help urgent)
posted by Hannah .
1) Find the values (if possible) of the six trigonometric functions of o if the terminal side of o lies on the given line in the specified quadrant.
y=1/3x
2)Evaluate (if possible)the sine, cosine, and tangent of the angles without a calculator.
(a) 10pie/3
(b) 17pie/3

math(please help urgent) 
drwls
1) A y = x/3 line makes an angle of arctan 1/3 with the x axis. That line is in the first quadrant (and also the third quadrant).
You have not specified the quadrant.
tan theta = 1/3, by definition
sin theta = 1/sqrt10 (in the 1st quadrant)
cos theta = 3/sqrt10
etc.
2) (a) Subtract 2 pi from 10 pi/3 you will see that it has the same trig functions as 4 pi/3. The reference angle is pi/3 and it is in the third quadrant. The cosine is 1/2 etc. You should be able to figure out the others.
(b) Subtract 4 pi = 12 pi/3 and you get
5 pi/3 . The reference angle is pi/3 and it is in the fourth quadrant. The cosine is 1/2, etc
Respond to this Question
Similar Questions

Algebra 2
Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given 
trig
the terminal side of an angle theta in standard position coincides with the line y=5x and lies in quadrant 3. find the six trigonometric functions of theta. 
Precalculus
Evaluate all six trigonometric functions at t, where the given point lies on the terminal side of an angle of t radians in standard position. (40/41, 9/41) 
Precalculus Someone please help
Evaluate all six trigonometric functions at t, where the given point lies on the terminal side of an angle of t radians in standard position. (40/41, 9/41) 
Precalculus
The terminal side of theta lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of theta by finding a point on the line. y= 3/2x in quadrant 4 
Precalculus
The terminal side of theta lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of theta by finding a point on the line. y= 3/2x in quadrant 4 
Precalculus
The terminal side of theta lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of theta by finding a point on the line. y= 3/2x in quadrant 4 
trig
The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III sin(θ)= cos(θ)= tan(θ)= … 
Math Trig
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side? 
Math Trig
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side?