SOLUTION: By considering a unit circle, decide whether the following are true or false: Sin 10< cos 10 Sin 50 < tan 50 Cos 80> sin 80 Cos 90 = sin 0 Tan 180 = Sin 180 Tan 270 = cos 180

Algebra ->  Trigonometry-basics -> SOLUTION: By considering a unit circle, decide whether the following are true or false: Sin 10< cos 10 Sin 50 < tan 50 Cos 80> sin 80 Cos 90 = sin 0 Tan 180 = Sin 180 Tan 270 = cos 180      Log On


   

Question 1083470: By considering a unit circle, decide whether the following are true or false:
Sin 10< cos 10
Sin 50 < tan 50
Cos 80> sin 80
Cos 90 = sin 0
Tan 180 = Sin 180
Tan 270 = cos 180
Sin 260 < cos 110
You could solbve this by putting it in the calculator but I'm not sure how to solve these problems.I have been trying to figure this question out for about half an hour and I'm losing hope. Can you please help me by explaining the unit circle and how to so!ve these questions? Any help is much appreciated, preferably before tomorrow (because this homework is due)
Thanks a lot! (:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Draw all the angles involved in the unit circle like below, but label them
with the iven angles.  The cosines are the x-coordinants of the points on
the circle and the sines are the y-coordinants. The tangents are the
sines divided by the cosines.  It's a problem of looking to see which 
coordinants are longer and shorter, and in the case of the tangents, 
which fraction sine/cosine is larger or smaller. 




Edwin