Is there any mistake in this problem concerning trig functions of half angles? – math.stackexchange.com

Is there any mistake in this problem concerning trig functions of half angles? – math.stackexchange.com

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The problem says: If $450^\circ<\alpha<540^\circ$ and $\cot\alpha=-\frac{7}{24},$ calculate $\cos\frac{\alpha}{2}$ I solved it in the following way: $$\begin{align} ...

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