A) P is approximately (0.883, 0.469), is a point on the unit circle with angle 28 degrees estimate the following.
Sin 152 degrees =
Cos 152 degrees =
figure r^2 = x^2+y^2
sin = y/r
cos = x/r
now just plug in the numbers.
thank you
To estimate the values of sine and cosine for an angle of 152 degrees, we can use the unit circle. The given point P (0.883, 0.469) lies on the unit circle at an angle of 28 degrees.
To find the values of sine and cosine for 152 degrees, it is helpful to observe that the unit circle is symmetrical about the y-axis. This means we can find the coordinates of the point that is 152 degrees in the opposite direction, which would be 180 - 152 = 28 degrees.
Since the given point P has an angle of 28 degrees, we can consider its symmetrical point, which is (-0.883, 0.469), on the unit circle.
Now, let's calculate the values:
Sin 152 degrees = Sin (180 - 152 degrees)
We know that Sin (180 - θ) = Sin (θ)
Therefore, Sin 152 degrees = Sin 28 degrees ≈ 0.469
Cos 152 degrees = Cos (180 - 152 degrees)
We know that Cos (180 - θ) = -Cos (θ)
Therefore, Cos 152 degrees = -Cos 28 degrees ≈ -0.883
So, the estimates for Sin 152 degrees and Cos 152 degrees are approximately 0.469 and -0.883, respectively.