7.4E: The Other Trigonometric Functions (Exercises)
For the following exercises, find the exact value of the given expression.
39. \(\cos \frac{\pi}{6}\)
40. \(\tan \frac{\pi}{4}\)
41. \(\csc \frac{\pi}{3}\)
42. \(\sec \frac{\pi}{4}\)
For the following exercises, use reference angles to evaluate the given expression.
43. \(\sec \frac{11 \pi}{3}\)
44. \(\sec 315^{\circ}\)
45. If \(\sec (t)=-2.5,\) what is the \(\sec (-t) ?\)
46. If \(\tan (t)=-0.6,\) what is the \(\tan (-t) ?\)
47. If \(\tan (t)=\frac{1}{3},\) find \(\tan (t-\pi)\)
48. If \(\cos (t)=\frac{\sqrt{2}}{2},\) find \(\sin (t+2 \pi) .\) There are two possible solutions.
49. Which trigonometric functions are even?
50. Which trigonometric functions are odd?