[1] the opposite figure: I ABO is righteangled at \( \mathrm{A}, \mathrm{A}(6,3) \) , then \( \tan (2 \mathrm{AOB})=\ldots \ldots \ldots \ldots \ldots \)

If \( \theta=\frac{7 \pi}{6} \), then find exact values for the following: \( \sin (\theta)=\square \) \( \cos (\theta)=\square \) \( \tan (\theta)=\square \) \( \csc (\theta)=\square \) \( \sec (\theta)=\square \) \( \cot (\theta)=\square \)

If \( \theta=-\frac{7 \pi}{4} \), then find exact values for the following \( \sin (\theta)=\square \) \( \cos (\theta)=\square \) \( \tan (\theta)=\square \) \( \csc (\theta)=\square \) \( \sec (\theta)=\square \)

If \( \theta=-\frac{5 \pi}{4} \), then find exact values for the following: \( \sin (\theta)=\frac{\sqrt{2}}{2} \) \( \cos (\theta)=-\frac{\sqrt{2}}{2} \) \( \tan (\theta)=-1 \) \( \csc (\theta)=-\sqrt{2} \) \( \sec (\theta)=-\sqrt{2} \)

Find the exact values of the six trig functions. Give an exact answer. No decimals!!! \( \begin{array}{l}\sin \left(225^{\circ}\right)=\frac{\sqrt{2}}{2} \\ \cos \left(225^{\circ}\right)=\frac{\sqrt{2}}{2} \\ \tan \left(225^{\circ}\right)=\square \\ \csc \left(225^{\circ}\right)=\square \\ \sec \left(225^{\circ}\right)=\square \\ \cot \left(225^{\circ}\right)=\square\end{array} \)

If \( \theta=-\frac{4 \pi}{3} \), then find exact values for the following: \[ \begin{aligned} \sin (\theta) & =\square \\ \cos (\theta) & =\frac{-1}{2} \\ \tan (\theta) & =-\sqrt{3} \\ \csc (\theta) & =\square\end{aligned} \] \( \begin{aligned} \sec (\theta) & =\square\end{aligned} \)