Find tan from sin.

**arm** · February 26th 2011, 10:06 AM

Let $sin \alpha =\frac{-1}{4}, \pi < \alpha < \frac{3\pi }{2}$ .
Find: $tan(\alpha -\frac{25\pi }{4})$

**skeeter** · February 26th 2011, 10:24 AM

Originally Posted by arm

Let $sin \alpha =\frac{-1}{4}, \pi < \alpha < \frac{3\pi }{2}$ .
Find: $tan(\alpha -\frac{25\pi }{4})$

draw a reference triangle in quad III, use the given $\sin{\alpha} = -\dfrac{1}{4}$ to determine the value of $\cos{\alpha}$ , then use the ratio identity to find $\tan{\alpha}$ , finally use the difference identity for tangent to finish.

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

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