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?