Problem 45
Find the reference angle of each angle. $$ 320^{\circ} $$
Problem 45
Use a calculator to find the approximate value of each expression. Round the answer to two decimal places. $$ \sin 4^{\circ} $$
Problem 46
Find the reference angle of each angle. $$ 330^{\circ} $$
Problem 47
Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\frac{\cos 13^{\circ}}{\sin 77^{\circ}}$$
Problem 51
Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\tan 20^{\circ}-\frac{\cos 70^{\circ}}{\cos 20^{\circ}}$$
Problem 53
Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\tan 10^{\circ} \cdot \sec 80^{\circ} \cdot \cos 10^{\circ}$$
Problem 54
Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\cot 25^{\circ} \cdot \csc 65^{\circ} \cdot \sin 25^{\circ}$$
Problem 56
\(f(x)=\sin x, g(x)=\cos x, h(x)=2 x,\) and \(p(x)=\frac{x}{2} .\) Find the value of each of the following: $$ (h \circ f)\left(\frac{\pi}{6}\right) $$
Problem 56
Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\sec 35^{\circ} \csc 55^{\circ}-\tan 35^{\circ} \cot 55^{\circ}$$
Problem 57
Write the equation of a sine function that has the given characteristics. Amplitude: 3 Period: \(\pi\)