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On the unit circle, which of the following angles has the terminal point coordinates ( -v2/2 , -v2/2)

Sagot :

Answer:

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) =

OP.Cosθ = 1×Cosθ =

Cosθ =

θ = ,   where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -

Sinθ = -

θ = ,   where n = integer

Common value of θ will be, θ =

Option B will be the answer.

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