Question

PLEASE HELP

Find the point on the terminal side of θ = pi divided by four that has an x coordinate of 2. Show your work for full credit.

Answer 1

first you must know that:
x=rcosθ
y=rsinθ

We are given that θ=pi/4, x=2
So first..plug x and θ into the first formula to get the value of "r"

2=rcos(pi/4)
2=r(√ 2 /2)
2(2)=r(√ 2)
4=r(√ 2)
r=4 / √ 2

Now plug in "r" and θ into the second formula to get the value of y

y=4 / √ 2 (sin pi/4)
y=4 / √ 2 (√ 2 /2)
y=4/2
y=2

So, your terminal point will be (2,2)