What is the general solution for (1+tan(x))^2+(1-tan(x))^2=sec^2(x) ?

The general solution for (1+tan(x))^2+(1-tan(x))^2=sec^2(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 >

(1+tan(x))^2+(1-tan(x))^2=sec^2(x)

(1 + tan (x))^{2} + (1 - tan (x))^{2} = sec^{2} (x)

No Solution for x \in R

Solution steps

(1 + tan (x))^{2} + (1 - tan (x))^{2} = sec^{2} (x)

Subtract

sec^{2} (x)

from both sides

2 tan^{2} (x) - sec^{2} (x) + 2 = 0

Rewrite using trig identities

sec^{2} (x) = 0

Apply rule

x^{n} = 0 \Rightarrow x = 0

sec (x) = 0

sec (x) \leq - 1 or sec (x) \geq 1

No Solution for x \in R

tan (x) = - \frac{2}{2}

cot (x) = 1.2

cos (\frac{3}{2} π - x) + sin (4 x) = 0

tan (x) = \frac{30}{100}

cos (θ) = - \frac{53}{8}

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