Question is not correctly written.
Correct Question:
The terminal side of an angle θ in standard position intersects the unit circle at (12/13 , 5/13). What is sin(θ)? Write your answer in simplified, rationalized form.
Answer:
SinѲ = 5/13
Step-by-step explanation:
We have radius (r) and angle (Ѳ) theta.
Where, x, y :
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points on the unit circle as (12/13 , 5/13)
Where x = 12/13 , y = 5/13
r = √(12/13)² + (5/13)²
r = √144/169 +25/169
r = √169/169
r = √1
r = 1
In the question, we are asked to find sinѲ. Using Equation 2,
y = r sinѲ
Where y = 5/13 and r = 1
5/13 = 1 sinѲ
Divide both sides by 1
sinѲ = 5/13
Therefore, sinѲ = 5/13