Asked by Tony
Let O be the origin and P be a point in the fourth quadrant on the x-y plane. Let 270<z<360 be the angle formed by OP with the positive x-axis. Similarly Q is a point in the fourth quadrant on the x-y plane where |OQ|=|OP| and the angle formed by OQ and the x-axis is 7z . For what value of z do the segments OP and OQ coincide?
Answers
Answered by
Steve
we need 7z = z+n*2pi
6z = n*2pi
3z = n*pi
z = n * pi/3
Now, we know that z in is QIV, so it must be 5pi/3.
check:
7*5pi/3 = 35pi/3 = 10pi + 5pi/3
so P and Q coincide if z = 5pi/3
6z = n*2pi
3z = n*pi
z = n * pi/3
Now, we know that z in is QIV, so it must be 5pi/3.
check:
7*5pi/3 = 35pi/3 = 10pi + 5pi/3
so P and Q coincide if z = 5pi/3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.