What is the general solution for sec(x)=(sin(x))/(cos(x)) ?

The general solution for sec(x)=(sin(x))/(cos(x)) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(x)=(sin(x))/(cos(x))

sec (x) = \frac{sin ( x )}{cos ( x )}

No Solution for x \in R

Solution steps

sec (x) = \frac{sin ( x )}{cos ( x )}

Subtract

\frac{sin ( x )}{cos ( x )}

from both sides

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

Simplify

sec (x) - \frac{sin ( x )}{cos ( x )} : \frac{sec ( x ) cos ( x ) - sin ( x )}{cos ( x )}

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

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

sec (x) cos (x) - sin (x) = 0

Rewrite using trig identities

- sin (x) + 1 = 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{π}{2} + 2 πn

Since the equation is undefined for:

\frac{π}{2} + 2 πn

No Solution for x \in R

- cos (20.02 t) = sin (20 t)

sin^{3} (x) + 3 sin^{2} (x) + 2 sin (x) = 0, 0 \leq x < 2 π

sin (2 x - \frac{π}{6}) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

\frac{cos ( x )}{2} = \frac{- 3}{2}

b, a = arccos (\frac{a ^{2} - b ^{2} - c ^{2}}{- 2 b c})

What is the general solution for sec(x)=(sin(x))/(cos(x)) ?
The general solution for sec(x)=(sin(x))/(cos(x)) is No Solution for x\in\mathbb{R}