What is (1+tan(x))^2-sec^2(x) ?

The solution to (1+tan(x))^2-sec^2(x) is 2tan(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

2 tan (x)

Solution steps

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

Expand

(1 + tan (x))^{2} : 1 + 2 tan (x) + tan^{2} (x)

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

Use the Pythagorean identity:

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

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

= 2 tan (x) + 1 - 1

Subtract the numbers:

1 - 1 = 0

= 2 tan (x)

\frac{1 - e ^{- 4 s}}{s ( s ^{2} + 2 s + 17 )}

(2 x^{3} - x y^{2} - 2 y + 3) d x + (x^{2} y + 2 x) d y

(csc (θ) - cot (θ))^{2}

x^{\frac{3}{5}} (4 - x)

(\frac{3}{x} - 2 x^{2})^{3}

What is (1+tan(x))^2-sec^2(x) ?
The solution to (1+tan(x))^2-sec^2(x) is 2tan(x)