Let $\displaystyle sin \alpha =\frac{-1}{4}, \pi < \alpha < \frac{3\pi }{2}$.

Find: $\displaystyle tan(\alpha -\frac{25\pi }{4})$

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- Feb 26th 2011, 10:06 AMarmFind tan from sin.
Let $\displaystyle sin \alpha =\frac{-1}{4}, \pi < \alpha < \frac{3\pi }{2}$.

Find: $\displaystyle tan(\alpha -\frac{25\pi }{4})$ - Feb 26th 2011, 10:24 AMskeeter
draw a reference triangle in quad III, use the given $\displaystyle \sin{\alpha} = -\dfrac{1}{4}$ to determine the value of $\displaystyle \cos{\alpha}$ , then use the ratio identity to find $\displaystyle \tan{\alpha}$ , finally use the difference identity for tangent to finish.

btw ... you need to be sharing what you've attempted on all those other posts.