What is the general solution for -tan(x)-sec(x)=0 ?

The general solution for -tan(x)-sec(x)=0 is No Solution for x\in\mathbb{R}

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-tan(x)-sec(x)=0

- tan (x) - sec (x) = 0

No Solution for x \in R

Solution steps

- tan (x) - sec (x) = 0

Express with sin, cos

\frac{- 1 - sin ( x )}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

- 1 - sin (x) = 0

Move

1

to the right side

- sin (x) = 1

Divide both sides by

- 1

sin (x) = - 1

General solutions for

sin (x) = - 1

x = \frac{3 π}{2} + 2 πn

Since the equation is undefined for:

\frac{3 π}{2} + 2 πn

No Solution for x \in R

\frac{26}{sin ( 8 8 ^{\circ} )} = \frac{21}{sin ( c )}

3 tan^{2} (3 x) = 1

- 2 (cos (2 x) + sin (x)) = 0

cos (x) + cos^{2} (x) = 1

6 tan (x) - 5 csc (x) = 0

What is the general solution for -tan(x)-sec(x)=0 ?
The general solution for -tan(x)-sec(x)=0 is No Solution for x\in\mathbb{R}