If sec \displaystyle\alpha=\frac{41}{{9}},{0} \alpha \frac{\pi}{{2}} ... | Plainmath

Solution to Calculus and Analysis question: If sec \displaystyle\alpha=\frac{41}{{9}},{0} \alpha \frac{\pi}{{2}}, then find the exact value of each of the following.
a) \displaystyle{\sin},\frac{\alpha}{{2}}
b) \displaystyle{\cos},\frac{\alpha}{{2}}
c) \displaystyle{\tan},\frac{\alpha}{{2}}

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