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
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
1 answer
1 answer