What are the values of m and theta diagram below? (43 pts) (e2020)

answer

m = (√3)/2

θ = 30°

explanation

the diagram in the question is unit circle.

part 1

we can find the value of m using pythagoras theorem.

c² = a²+b²

1² = (1/2)² +m²

m² = 1 - 1/4

=3/4

m = √(3/4)

=(√3)/2

part 2

to find the angle we can use the sine rule

sin θ = (1/2)/1

= 1/2

θ = sin⁻¹(1/2)

= 30°

i must say, that graph is very very misleading, for an angle θ open like that, the y-coordinate, namely the sine is definitely not 1/2, but it's claiming it's.

anyhow, if you check your unit circle, and you should already have one, if you haven't, this is a good time to get one, that angle is 30° or π/6, whose cosine,sine pair is .

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step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4