## anonymous 4 years ago evaluate WITHOUT using a calculator? cot (pie/6)

1. anonymous

couldnt find pie button

2. anonymous

and csc (pie/3)

3. EarthCitizen

cot=1/tan

4. anonymous

how do u find tan of that without a calculator

5. anonymous

|dw:1328139324563:dw| change to degree|dw:1328139364336:dw| therefor|dw:1328139411773:dw| to find it's ewuivalent value. |dw:1328139444068:dw| cot of 30 degrees is

6. EarthCitizen

|dw:1328139508796:dw|

7. anonymous

|dw:1328139539309:dw|

8. EarthCitizen

30=45-15

9. anonymous

i hope i satisfy your question. .

10. Kainui

What is the cot function? Just cotangent which is the same as 1/tan. Pi/6 is an angle in radians, so consider that pi is half-way around the circle, or 180 degrees. So a sixth of pi is 30 degrees. Tangent, if you've heard of it before, can be remembered with SOH CAH TOA which means Sine is Opposite over Hypotenuse, Cosine is Adjacent over Hypotenuse, and Tangent is Opposite over Adjacent. What does this all mean? That tangent of an angle is equal to the ratio of the opposite side divided by the adjacent side to the angle. $\tan \theta=O/A$ |dw:1328139550242:dw| So you can see that the further along you go by rotating around the unit circle you'll find that the adjacent and opposite side change in lengths.

11. anonymous

i actuallt use special triangle property, since the equivalent degree form of the given angle in radian form is 30 degrees.

12. anonymous

thanks

13. anonymous

you're welcome. . . medalssss!