Question 181068: Find all possible angles in standard position.
secD= -15/12
Answer by eperette(173)   (Show Source):
You can put this solution on YOUR website! secD=(1/cosD)...therefore cosD=-12/15
Now to find possible angles use your calculator,
(1) make sure mode is in degrees
(2) Type {2nd cos}-12/15)......
Your angle is 143.13 degrees
Calculator onl gives you one angle, but there could be more than one...in this case you could have another angle in quadrantIII because sec and cos are negative in quadrant III also....
use knowledge of reference angles......
the reference angle of 143.13 is 180-143.13=36.87
so in quadrantIII you can also have
180+ 36.87 = 216.87
COMPLETE ANSWER:
possible angles in standard position are :
143.13 degrees and
216.87 degrees
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