Determining the quadrant of θ given trigonometric values of half-angle θ

[khloeeee101]

I am a bit stuck on this question and it would help me a lot if anyone could help me on this one. Kindly refer to the attachment.

 

[Deleted member 4993]

I am a bit stuck on this question and it would help me a lot if anyone could help me on this one. Kindly refer to the attachment.View attachment 23768

If tan(α)<0 [α is in 2nd or 4 th quadrant] AND if cos(α)>0 - which quadrant does α reside?

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