If 0 is less than or equal to 2theta less than or equal to pi and P(2theta)= (-7/25, 24/25), find P(theta)
do you notice that 7^2 + 24^2 = 25^2 ?
mmmmhhh ....
now make a sketch and follow the hints of my previous post to you.
I will gladly check your answer.
To find P(theta) given P(2theta), we need to relate the values of theta and 2theta.
From the given information, we know that 0 <= 2theta <= pi. This means that theta lies between 0 and pi/2, since 2theta will cover the entire range from 0 to pi.
To express P(theta) in terms of P(2theta), we need to relate the coordinates. Since 2theta goes from 0 to pi, and 2theta covers the same range as theta, we can say that theta goes from 0 to pi/2.
To find the coordinates of P(theta), we divide theta by 2 to get P(theta).
So, the coordinates of P(theta) are:
P(theta) = (-7/25, 24/25).
Therefore, the answer is (-7/25, 24/25).