Determine the angle $ heta$
Answer 1
Ella Lewis
Given a point P on the unit circle with coordinates (cos(θ), sin(θ)) corresponding to an angle θ, find the angle θ if the coordinates of point P are (√3/2, 1/2).
We know the coordinates (x, y) = (cos(θ), sin(θ)).
So, cos(θ) = √3/2 and sin(θ) = 1/2.
From trigonometric identities, we know that cos(π/6) = √3/2 and sin(π/6) = 1/2.
Therefore, θ = π/6.
Answer: θ = π/6
Answer 2
Michael Moore
Consider a point P on the unit circle with coordinates (cos(θ), sin(θ)).
If the coordinates of point P are (√3/2, 1/2), we can use trigonometric identities to find θ.
We have: cos(θ) = √3/2 and sin(θ) = 1/2.
These values correspond to the angle π/6, since cos(π/6) = √3/2 and sin(π/6) = 1/2.
Thus, the angle θ is π/6.
Answer: θ = π/6
Answer 3
Thomas Walker
Given that point P on the unit circle has coordinates (√3/2, 1/2).
We need to find θ such that cos(θ) = √3/2 and sin(θ) = 1/2.
These correspond to θ = π/6.
Answer: θ = π/6
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