2. The angles of elevation of the top of a tree from \( P \) and \( Q \) which are 30 m apart are \( 22^{\circ} \) and \( 32^{\circ} \) respectively. Given that the two points are on the same side of the tree and on straight line, determine the height of the tree. ( 4 mks )

Find the exact values of the six trig functions. Give an exact answer. No decimals!!! \( \sin \left(225^{\circ}\right)=\square \) \( \cos \left(225^{\circ}\right)=\square \)

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

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

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