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प्रश्न
Express the following numbers in the form x + iy:
`"e"^((5pi)/6"i")`
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उत्तर
z = reiθ = `"e"^((5pi)/6"i")`
∴ r = 1, θ = `(5pi)/6`
Polar form of z = r(cos θ + i sin θ)
= `1(cos (5pi)/6 + "i" sin (5pi)/6)`
= `cos(pi - pi/6) + "i" sin(pi - pi/6)`
= `-cos pi/6 + "i" sin pi/6`
= `-sqrt(3)/2 + "i"* 1/2`
= `-sqrt(3)/2 + 1/2"i"`
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