Answer
See sketch, $sin\theta= \frac{4}{5}$, $cos\theta= \frac{3}{5}$, $tan\theta=\frac{4}{3}$, $cot\theta=\frac{3}{4}$, $sec\theta= \frac{5}{3}$, $csc\theta= \frac{5}{4}$
Work Step by Step
1. See sketch.
2. We can find $sin\theta=\frac{4}{\sqrt {(3)^2+(4)^2}}=\frac{4}{5}$
3. We can find $cos\theta=\frac{3}{\sqrt {(3)^2+(4)^2}}=\frac{3}{5}$
4. We can find $tan\theta=\frac{4}{3}$
5. We can find $cot\theta=\frac{3}{4}$
6. We can find $sec\theta=\frac{1}{cos\theta}=\frac{5}{3}$
7. We can find $csc\theta=\frac{1}{sin\theta}=\frac{5}{4}$
