91Ó°ÊÓ

Draw each of the following angles in standard position, find a point on the terminal side, and then find the sine, cosine, and tangent of each angle: $$ -135^{\circ} $$

Determine whether each statement is true or false. $$ \cos 35^{\circ}<\cos 45^{\circ} $$

Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38 . Find \(\sin \theta\) if \(\cos \theta=\frac{3}{5}\) and \(\theta\) terminates in QI.

Add or subtract as indicated, then simplify if possible. For part (b), leave your answer in terms of \(\sin \theta\) and/or \(\cos \theta\). a. \(\frac{1}{a}-\frac{1}{b}\) b. \(\frac{1}{\sin \theta}-\frac{1}{\cos \theta}\)

Find the distance between the following pairs of points. \(\cdot(3,7),(6,3)\)

Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38 . Find \(\sin \theta\) if \(\cos \theta=\frac{12}{13}\) and \(\theta\) terminates in QI.

Determine whether each statement is true or false. $$ \sin 55^{\circ}<\sin 65^{\circ} $$

Add or subtract as indicated, then simplify if possible. For part (b), leave your answer in terms of \(\sin \theta\) and/or \(\cos \theta\). a. \(\frac{1}{a}-a\) b. \(\frac{1}{\cos \theta}-\cos \theta\)

Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38 . Find \(\cos \theta\) if \(\sin \theta=\frac{\sqrt{3}}{2}\) and \(\theta\) terminates in QII.

Add or subtract as indicated, then simplify if possible. For part (b), leave your answer in terms of \(\sin \theta\) and/or \(\cos \theta\). a. \(\frac{b}{a}+\frac{1}{b}\) b. \(\frac{\cos \theta}{\sin \theta}+\frac{1}{\cos \theta}\)