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

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

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1/(cos(x))=-1

\frac{1}{cos ( x )} = - 1

x = π + 2 πn

Solution steps

\frac{1}{cos ( x )} = - 1

Multiply both sides by

cos (x)

1 = - cos (x)

Move

cos (x)

to the left side

1 + cos (x) = 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

3 tan^{3} (θ) - tan (θ) = 3 tan^{2} (θ) - 1

\frac{sin ( ( 2 \cdot 5 + 1 ) \cdot \frac{w}{2} )}{sin ( \frac{w}{2} )} = 0

sin (θ) = - 0.7

sin (θ) = - 0.1

tan (θ) + 3 = 0, 0 \leq θ \leq 2 π

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