SOLUTION: Find the terminal point P ( x , y ) on the unit circle determined by the given value of t: If t=π/2, then x = AND y=

Question 1173059: Find the terminal point P ( x , y ) on the unit circle determined by the given value of t:
If t=π/2, then x =
AND
y=
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

Answers: x = 0, y = 1

The radian angle pi/2 is equivalent to 90 degrees. This angle points directly north, which corresponds to the point (0,1)
I recommend you have a unit circle reference sheet with you. It could be a chart/table of values and/or an actual diagram of the unit circle. You can decide which is your preference.

Note how
cos(t) = cos(pi/2) = 0
sin(t) = sin(pi/2) = 1
Make sure your calculator is in radian mode

It turns out that,
x = cos(t)
y = sin(t)
So any (x,y) point on the unit circle can be described as (cos(t), sin(t))

RELATED QUESTIONS
Find the terminal point P(x, y) on the unit circle determined by the given value of t. (answered by Alan3354)

Find the terminal point P(x, y) on the unit circle determined by the given value of t. (answered by Alan3354)

ind the terminal point P(x, y) on the unit circle determined by the given value of t. t = (answered by lwsshak3)

Find the terminal point P(x, y) on the unit circle determined by the given value of t. t... (answered by Edwin McCravy)

Please check my answers for questions related to Unit Circle A. Find the missing... (answered by stanbon,ewatrrr)

Suppose that the terminal point determined by t is the point (3/5, 4/5) on the unit... (answered by lwsshak3)

Find the terminal point P(x,y) on the unit circle determined by the value of t. t=... (answered by stanbon)

Suppose that the terminal point determined by t is the point (1/2, √(3)/2) on... (answered by lwsshak3)

If the terminal point determined by t is P(a,b), then (a) the terminal point P(x,y)... (answered by ikleyn)