(Solved): Example 3: Given that tan=32, and 2<<, find the exact value of each of the r ...

Example 3: Given that $$\tan ?=?\frac{2}{3}$$, and $$\frac{?}{2}<?<?$$, find the exact value of each of the remaning trigonometric functions. Do not use calculator. Example 4: If $$\sec ?=?4$$ and $$\sin ?<0$$, where $$?$$ is an acute angle, find the exact value of the following. Do not use calculator. a. $$\csc ?=$$ c. $$\tan ?=$$ b. $$\frac{1}{\sin \left(\frac{?}{2}??\right)}$$ Example 5: Find one positive and one negative coterminal angles for each of the following angles a) $$53^{?}:$$ Positive $$=$$ b) $$?\frac{?}{5}:$$ Positive $$=$$ Negative $$=$$ Negative $$=$$ 5. Given $$\cos ?=a$$ and $$\sin ?=b$$ and $$?$$ is a reference angle. Write the following in terms of $$a$$ and $$b$$. a. $$\csc (??3?)+\cot \left(\frac{?}{2}??\right)$$ b. $$\frac{1}{\sec (6???)}+\sin (5?+?)$$ Determine in which quadrants each of the following equation is an identity a. $$\frac{\cos x}{\sqrt{1?{\cos }^{2}x}}=\cot x$$ b. $$\sqrt{1?{\cos }^2\left(\frac{?}{2}?x\right)}=?\cos x?$$