Posted by **Hannah** on Friday, January 15, 2010 at 3:50pm.

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**, Friday, January 15, 2010 at 4:59pm
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

## Answer this Question

## Related Questions

- Pre-calculus - The terminal side of theta lies on a given line in the specified ...
- Pre-calculus - The terminal side of theta lies on a given line in the specified ...
- Pre-calculus - The terminal side of theta lies on a given line in the specified ...
- trig - The terminal side of θ lies on a given line in the specified ...
- trig - the terminal side of an angle theta in standard position coincides with ...
- Precalculus Someone please help - Evaluate all six trigonometric functions at t...
- Math Trig - Find the values of the six trigonometric functions of an angle in ...
- Math Trig - Find the values of the six trigonometric functions of an angle in ...
- Precalculus - Evaluate all six trigonometric functions at t, where the given ...
- Algebra 2 - Can someone help me figure these out? I think if someone can explain...