Question #a7292

2 Answers
Fty
Jul 9, 2017

41.81

Explanation:

#sin^-1# #2/3# #=# 41.8103149

41.8103149 is the exact answer, according to my calculator.
I apologise, because I can't explain this answer step by step.
I hope another person will help you more.

Nghi N
Jul 9, 2017

#41^@81, and 138^@19#

Explanation:

sin^-1 (2/3) --> arcsin (2/3)
Calculator gives:
#sin x = 2/3# --> #x = 41^@81#
Unit circle gives another arc x that has the same sin value:
#x = 180^@ - 41^@81 = 138^@19#

Extended answers:
#x = 41^@81 + k360^@#
#x = 138^@19 + k360^@#

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