How do I solve sec x=-2.3711?

How to find second solution

1 Answer
Rhys
Apr 27, 2018

Shown below

Explanation:

#secx = -2.3711 #

#=> 1/cosx = -2.3711 #

Taking reciprocals

#=> ( 1/cosx)^(-1) = (-2.3711)^(-1) #

#=> cosx =- 0.42175 #

#=> x = cos^(-1) ( -0.42175 )#

#=> x in { 114.945^circ , 245.055^circ , ... } #

In degrees

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