State true or false- 3-2isin-1-2isin- 3-4sin2- -8isin-1-4sin2-

3+2isinθ/1 2isinθ= ( 3+2isinθ #160; ) ( 1+2isinθ #160; )/1 4i^2sin ^2θ = ( 3 4sin ^2θ #160; )+8isinθ/1+4sin ^2θ ...

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Sin(A+B)Sin(A-B)

State true or...

Question

State true or false:

$\frac{3 + 2 i sin θ}{1 - 2 i sin θ} = \frac{(3 - 4 {sin}^{2} θ) + 8 i sin θ}{1 + 4 {sin}^{2} θ}$ .

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Solution

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z = \frac{(3 + 2 i sin θ)}{(1 - 2 i sin θ)}

i = \sqrt{-} 1

\frac{3 + 2 i sin θ}{1 - 2 i sin θ}

θ =

Arjun saw an equation written like $4 s i n 2 θ = 5$ . State if the given equation is true or false?

If $\frac{3 + 2 i s i n θ}{1 - 2 i s i n θ}$ is a real number and 0 < $θ < 2 < 2 π then θ$

\frac{1}{- {4 s i n}^{2} θ + \frac{3}{2} s i n 2 θ + 5}

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