Ihatemath :(
But your help would be much appreciated :)
Oh! If you could also help prove 2sin(-x) = √3 that'd be great too!
Identity:
2sin(x)cos(x) = sin(2x)
2(2sin(x)cos(x)) = √3
2sin(2x) = √3
sin(2x) = √3 / 2
2x = arcsin(√3 / 2)
x = (1/2) arcsin(√3 / 2) = (1/2) * (π/3) = π/6, for 0 ≤ x ≤ π/2
The next one works in a similar way.
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Identity:
2sin(x)cos(x) = sin(2x)
2(2sin(x)cos(x)) = √3
2sin(2x) = √3
sin(2x) = √3 / 2
2x = arcsin(√3 / 2)
x = (1/2) arcsin(√3 / 2) = (1/2) * (π/3) = π/6, for 0 ≤ x ≤ π/2
The next one works in a similar way.