What is (sec(a)-tan(a))(sec(a)+tan(a)) ?

The solution to (sec(a)-tan(a))(sec(a)+tan(a)) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sec(a)-tan(a))(sec(a)+tan(a))

simplify

(sec (a) - tan (a)) (sec (a) + tan (a))

1

Solution steps

(sec (a) - tan (a)) (sec (a) + tan (a))

Expand

(sec (a) + tan (a)) (sec (a) - tan (a)) : sec^{2} (a) - tan^{2} (a)

= sec^{2} (a) - tan^{2} (a)

Use the Pythagorean identity:

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

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

= 1

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

\frac{( x ^{2} + 1 ) ^{3}}{3}

2 (2 + 2)

- x^{\frac{2}{3}} (x - 4)

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

What is (sec(a)-tan(a))(sec(a)+tan(a)) ?
The solution to (sec(a)-tan(a))(sec(a)+tan(a)) is 1