Evaluating Trigonometric Functions
These videos show how to evaluate trigonometric functions at an angle given some information about the angle.
Exercises
1.
\(\sin \theta = \dfrac{3}{5} \qquad \csc \theta = \dfrac{5}{3}\)
\(\cos \theta = \dfrac{4}{5}\qquad \sec \theta = \dfrac{5}{4}\)
\(\tan \theta = \dfrac{3}{4}\qquad \cot \theta = \dfrac{4}{3}\)
\(\cos \theta = \dfrac{4}{5}\qquad \sec \theta = \dfrac{5}{4}\)
\(\tan \theta = \dfrac{3}{4}\qquad \cot \theta = \dfrac{4}{3}\)
2.
\(\csc \theta =\dfrac{2\sqrt{3}}{3}\)
\(\cos \theta = \dfrac{1}{2}\qquad \sec \theta = 2\)
\(\tan \theta = \sqrt{3} \qquad \cot \theta = \dfrac{\sqrt{3}}{3}\)
\(\cos \theta = \dfrac{1}{2}\qquad \sec \theta = 2\)
\(\tan \theta = \sqrt{3} \qquad \cot \theta = \dfrac{\sqrt{3}}{3}\)
3.
\(\csc \theta =\dfrac{3}{2}\)
\(\cos \theta = -\dfrac{\sqrt{5}}{3}\qquad \sec \theta = -\dfrac{3\sqrt{5}}{5}\)
\(\tan \theta = -\dfrac{2\sqrt{5}}{5} \qquad \cot \theta = -\dfrac{\sqrt{5}}{2}\)
\(\cos \theta = -\dfrac{\sqrt{5}}{3}\qquad \sec \theta = -\dfrac{3\sqrt{5}}{5}\)
\(\tan \theta = -\dfrac{2\sqrt{5}}{5} \qquad \cot \theta = -\dfrac{\sqrt{5}}{2}\)
4.
\(\dfrac{4}{3}\)