What is the general solution for (1-tan^2(A))/(2tan(A))=cot(A) ?

The general solution for (1-tan^2(A))/(2tan(A))=cot(A) is No Solution for A\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(1-tan^2(A))/(2tan(A))=cot(A)

\frac{1 - tan ^{2} ( A )}{2 tan ( A )} = cot (A)

No Solution for A \in R

Solution steps

\frac{1 - tan ^{2} ( A )}{2 tan ( A )} = cot (A)

Subtract

cot (A)

from both sides

\frac{1 - tan ^{2} ( A )}{2 tan ( A )} - cot (A) = 0

Simplify

\frac{1 - tan ^{2} ( A )}{2 tan ( A )} - cot (A) : \frac{1 - tan ^{2} ( A ) - 2 cot ( A ) tan ( A )}{2 tan ( A )}

\frac{1 - tan ^{2} ( A ) - 2 cot ( A ) tan ( A )}{2 tan ( A )} = 0

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

1 - tan^{2} (A) - 2 cot (A) tan (A) = 0

Rewrite using trig identities

- 1 - \frac{1}{cot ^{2} ( A )} = 0

Solve by substitution

cot (A) = i, cot (A) = - i

cot (A) = i :

No Solution

cot (A) = - i :

No Solution

Combine all the solutions

No Solution for A \in R

cos (4 θ) = cos (2 θ), 18 0^{\circ} \leq θ \leq 36 0^{\circ}

2 sin (x) = cos (x)

8 cos (2 x) = 8 - 8 cos (2 x)

- (2) cos (10 t) = (6) sin (10 t)

cot (x) = \frac{1}{4}

What is the general solution for (1-tan^2(A))/(2tan(A))=cot(A) ?
The general solution for (1-tan^2(A))/(2tan(A))=cot(A) is No Solution for A\in\mathbb{R}