SOLUTION: Given the equation: cos(x)1/sec(x)=-sqrt2 Solve for x: State which trigonometric identity/ies will give a result of -sqrt2. Please include a solution too, thank you so much.

Question 1173762: Given the equation:
cos(x)1/sec(x)=-sqrt2
Solve for x: State which trigonometric identity/ies will give a result of -sqrt2. Please include a solution too, thank you so much.
Answer by ikleyn(52906) (Show Source): You can put this solution on YOUR website!
.


As everybody knows,  sec(x) = .


THEREFORE the left side of your equation is


     =  =  = .



The right side of the equation is  - .


The left side is always positive as the square of a real number.


The right side is a negative real number.



THEREFORE, the given equation HAS NO solutions.     ANSWER

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