Need help with pre calculus please

Question

Identify the measure for faida in the domain 0 DEGREES less than or equal to FAIDA less than or equal to 360 DEGREES such that P(FAIDA) in the given point.

 

a) P(FAIDA) =( -1/2, root3/2)

 

b) (0, -1)

 

 

so sorry i had I had to use words instead of symbols !!! I only have access to phone right now and it won't let me access the symbols :(

thanks!

Answer 1

α alpha

β beta

γ gamma

δ delta

...

θ theta

 

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more important, what is P(θ) ? Is this a probability interval or are you just looking for θ having this point (-1/2, sqrt(3)/2) on the unit circle?

 

In the latter case, remember that any point on the unit circle can be represented as (cos θ, sin θ). 

 

This means you are looking for the angle of rotation having cos θ = -1/2 and sin θ = sqrt(3) / 2.  Since cosine is negative and sine is positive, this means the terminal side for θ is in quadrant II with a reference angle of π / 3 radians or 60 degrees.  Therefore θ = 2π/3 radians or 120 degrees.