91Ó°ÊÓ

In Exercises 1-16, the terminal side of an angle \(\theta\) in standard position passes through the indicated point. Calculate the values of the six trigonometric functions for angle \(\theta\). $$ (1,2) $$

Use a reciprocal identity to find the function value indicated. Rationalize denominators if necessary. If \(\cos \theta=0.8\), find \(\sec \theta\).

Use a reciprocal identity to find the function value indicated. Rationalize denominators if necessary. If \(\cot \theta=-\frac{\sqrt{7}}{5}\), find \(\tan \theta\)

In Exercises 11-18, use a quotient identity to find the function value indicated. Rationalize denominators if necessary. If \(\sin \theta=-\frac{1}{2}\) and \(\cos \theta=\frac{\sqrt{3}}{2}\), find \(\tan \theta\).

Find the indicated trigonometric function values if possible. If \(\sin \theta=-\frac{3}{4}\) and the terminal side of \(\theta\) lies in quadrant IV, find \(\sec \theta\).

Use a quotient identity to find the function value indicated. Rationalize denominators if necessary. If \(\sin \theta=-\frac{1}{2}\) and \(\cos \theta=\frac{\sqrt{3}}{2}\), find \(\cot \theta\).

State in which quadrant or on which axis each of the following angles with given measure in standard position would lie. $$ 270.5^{\circ} $$

Evaluate each expression if possible. $$ \sin \left(-270^{\circ}\right)+\cos 450^{\circ} $$

In Exercises 25-40, calculate (if possible) the values for the six trigonometric functions of the angle \(\theta\) given in standard position. $$ \theta=450^{\circ} $$

Sketch the angles with given measure in standard position. $$ -225^{\circ} $$