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If sin2theta=cos3theta where theta in (0...

If `sin2theta=cos3theta` where `theta in (0,pi/2)` , then `sintheta` is equal to

A

`(sqrt5-1)/(4)`

B

`-((sqrt5-1)/(4))`

C

`(sqrt5+1)/(4)`

D

`(sqrt5-1)/(2)`

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The correct Answer is:
A
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