find the coordinates of the terminal point on the unit circle determined by t=9pt/7 to two decimal places
what does
t=9pt/7
mean?
We need an angle counterclockwise from the x axis in radians or degrees.
I think she means 9pi/7
x = cos(9pi/7) = -0.62
y = sin(9pi/7) = -0.78
so, the point is (-0.62,-0.78)
To find the coordinates of the terminal point on the unit circle determined by t = 9π/7, we can use the trigonometric functions cosine (cos) and sine (sin).
The coordinates of a point on the unit circle are given by (cosθ, sinθ), where θ is the angle in radians.
Given t = 9π/7, divide by 7 to get it into the form of t = πx. This gives us t ≈ 1.29π.
Now, we can find cos(1.29π) and sin(1.29π) using a calculator:
cos(1.29π) ≈ -0.766
sin(1.29π) ≈ -0.643
Therefore, the coordinates of the terminal point on the unit circle determined by t = 9π/7 to two decimal places are approximately (-0.766, -0.643).
To find the coordinates of the terminal point on the unit circle determined by an angle in radians, you can use the trigonometric functions cosine and sine.
In this case, you want to find the coordinates of the terminal point determined by the angle t = 9π/7.
Step 1: Calculate the cosine of the angle:
cos(t) = cos(9π/7)
Step 2: Calculate the sine of the angle:
sin(t) = sin(9π/7)
Step 3: Round the cosine and sine values to two decimal places.
Step 4: The coordinates of the terminal point are (cos(t), sin(t)).
Let's calculate it
Step 1: cos(t) = cos(9π/7)
Using a calculator, compute cos(9π/7) ≈ -0.6235
Step 2: sin(t) = sin(9π/7)
Using a calculator, compute sin(9π/7) ≈ 0.7818
Step 3: Round the values to two decimal places:
cos(t) ≈ -0.62
sin(t) ≈ 0.78
Step 4: The coordinates of the terminal point are approximately (-0.62, 0.78)