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Question 1
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If $\cos\alpha+\cos\beta=a$, $\sin\alpha+\sin\beta=b$ and $\theta$ is the arithmetic mean between $\alpha$ and $\beta$, then $\sin2\theta+\cos2\theta$ is equal to
A.
$\dfrac{(a+b)^2}{(a-b)^2}$
B.
$\dfrac{(a-b)^2}{(a+b)^2}$
C.
$\dfrac{a^2-b^2}{a^2+b^2}$
D.
None of these
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