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

The general solution for (cos(x))/(cot(x))=sec(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 >

(cos(x))/(cot(x))=sec(x)

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

No Solution for x \in R

Solution steps

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

Subtract

sec (x)

from both sides

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

Simplify

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

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

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

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

Express with sin, cos

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

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

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

Rewrite using trig identities

- 1 + \frac{sin ( 2 x )}{2} = 0

Move

1

to the right side

\frac{sin ( 2 x )}{2} = 1

Multiply both sides by

2

sin (2 x) = 2

- 1 \leq sin (x) \leq 1

No Solution for x \in R

1500 = 250 \cdot 8 \cdot cos (θ)

- sin (2 x) = sin (4 x)

sin (x) = - 0.61

2 cos (3 x) + 2 = 0

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

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