91Ó°ÊÓ

Graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. $$ y=2-4 \cos (3 x) $$

\(f(x)=\sin x, g(x)=\cos x, h(x)=2 x,\) and \(p(x)=\frac{x}{2} .\) Find the value of each of the following: $$ (f \circ h)\left(\frac{\pi}{6}\right) $$

Convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 3.14

Use the even-odd properties to find the exact value of each expression. Do not use a calculator. $$ \csc \left(-\frac{\pi}{4}\right) $$

Graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. $$ y=\frac{5}{3} \sin \left(-\frac{2 \pi}{3} x\right) $$

Find the reference angle of each angle. $$ -\frac{5 \pi}{7} $$

Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\tan 10^{\circ} \cdot \sec 80^{\circ} \cdot \cos 10^{\circ}$$

Graph $$ y=\tan x \quad \text { and } \quad y=-\cot \left(x+\frac{\pi}{2}\right) $$ Do you think that \(\tan x=-\cot \left(x+\frac{\pi}{2}\right) ?\)

Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\cot 25^{\circ} \cdot \csc 65^{\circ} \cdot \sin 25^{\circ}$$

Find the reference angle of each angle. $$ -\frac{7 \pi}{6} $$