Which is equivalent to #sin^-1(0.75)# and how do you round your answer to the nearest hundredth of a radian?

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Which is equivalent to #sin^-1(0.75)# and how do you round your answer to the nearest hundredth of a radian?

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Answer 1 · 2016-12-21T06:14:23

#0.85; 2.29# radians

Explanation:

#sin^-1 (0.75) --> arcsin (0.75)#
Calculator gives
sin x = 0.75 --> arc #x = 48^@59#
Trig unit circle gives another arc x that has the same sin value (0.75):
#x = 180 - 48.59 = 131^@41#
Convert to radians:
#48^@59 --> (3.14/180)(48.59) = 0.85# radians
#131^@41 --> (3.14/180)(131.41) = 2.29# radians.

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Which is equivalent to #sin^-1(0.75)# and how do you round your answer to the nearest hundredth of a radian?

1 Answer

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