Chapter 5.6, Problem 52E

In Exercise 37-52, find the exact value of y or state that y is undefined.

37. $y=\sin \left({\sin }^{-1}\frac{1}{8}\right)$ 38. $y=\cos \left({\cos }^{-1}\frac{1}{5}\right)$

39. $y={\tan }^{-1}\left(\tan \frac{\pi }{7}\right)$ 40. $y={\tan }^{-1}\left(\tan \frac{\pi }{4}\right)$

41. $y=\tan \left({\tan }^{-1}247\right)$ 42. $y=\tan \left({\tan }^{-1}7\right)$

43. $y={\sin }^{-1}\left(\sin \frac{4\pi }{3}\right)$ 44. $y={\cos }^{-1}\left(\cos \frac{5\pi }{3}\right)$

45. $y={\tan }^{-1}\left(\tan \frac{2\pi }{3}\right)$ 46. $y=\tan \left({\tan }^{-1}\frac{2\pi }{3}\right)$

47. $y={\sin }^{-1}\left(\sin \frac{3\pi }{4}\right)$ 48. $y={\cos }^{-1}\left(\cos \frac{7\pi }{6}\right)$

49. $y=\sin \left({\sin }^{-1}\sqrt{2}\right)$ 50. $y=\cos \left({\cos }^{-1}\left(-\sqrt{2}\right)\right)$

51. $y={\cos }^{-1}\left(\cos \left(-\pi \right)\right)$ 52. $y={\sin }^{-1}\left(\sin 1.2\right)$