SOLUTION: DID NOT RECEIVE ENOUGH INSTRUCTION TO ANSWER THIS QUESTION. USE THE PERIODIC PROPERTIES TO FIND THE EXACT VALUES OF COT (7PI/4).

Algebra ->  Trigonometry-basics -> SOLUTION: DID NOT RECEIVE ENOUGH INSTRUCTION TO ANSWER THIS QUESTION. USE THE PERIODIC PROPERTIES TO FIND THE EXACT VALUES OF COT (7PI/4).      Log On


   



Question 615273: DID NOT RECEIVE ENOUGH INSTRUCTION TO ANSWER THIS QUESTION. USE THE PERIODIC PROPERTIES TO FIND THE EXACT VALUES OF COT (7PI/4).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If you start at 0 radians and rotate the radius 8 times by +pi%2F4+, which is 45 degrees,
you end up back at 0 radians, since +8%2A%28pi%2F4%29+=+2%2Api+
Now back off +pi%2F4+ radians in the CW direction, and you have +7%2Api%2F4+
The cotangent is adjacent side / radius which is positive in the 4th quadrant.
So, +cot%28+7%2Api%2F4+%29+=+sqrt%282%29+%2F+2+
The rule is just keep adding or subtracting +2%2Api+ radians, and you will
end up back where you started