What is the general solution for 1+1/(cos(x))=0 ?

The general solution for 1+1/(cos(x))=0 is x=pi+2pin

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1+1/(cos(x))=0

1 + \frac{1}{cos ( x )} = 0

x = π + 2 πn

Solution steps

1 + \frac{1}{cos ( x )} = 0

Multiply both sides by

cos (x)

cos (x) + 1 = 0

Move

1

to the right side

cos (x) = - 1

Verify Solutions

Find undefined (singularity) points:

cos (x) = 0

Combine undefined points with solutions:

cos (x) = - 1

General solutions for

cos (x) = - 1

x = π + 2 πn

cos^{2} (x) = (\frac{4 k - 3}{9})

9 = - 9 \cdot sin (2 x)

2 sin (4 t) = 2 sin (4 t) cos (4 t)

a^{1} sin (x) = 43.1253

52800 = \frac{( 1500 ) ^{2} sin ( x )}{32.2}

What is the general solution for 1+1/(cos(x))=0 ?
The general solution for 1+1/(cos(x))=0 is x=pi+2pin