What is (16+tan(x))(16-tan(x))+sec^2(x) ?

The solution to (16+tan(x))(16-tan(x))+sec^2(x) is 257

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (16+tan(x))(16-tan(x))+sec^2(x)

simplify

(16 + tan (x)) (16 - tan (x)) + sec^{2} (x)

257

Solution steps

(16 + tan (x)) (16 - tan (x)) + sec^{2} (x)

Expand

(16 + tan (x)) (16 - tan (x)) : 256 - tan^{2} (x)

= 256 - tan^{2} (x) + sec^{2} (x)

Use the Pythagorean identity:

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

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

= 256 + 1

Add the numbers:

256 + 1 = 257

= 257

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

\frac{s + 2}{( ( s + 2 ) ^{2} + 9 ) \cdot ( s + 2 ) ^{2}}

\frac{( k - 1 ) ( 3 k ^{6} - k ^{5} - k ^{4} + k ^{3} + k ^{2} + k + 1 )}{k ^{4}}

\frac{2 sin ( x ) - sin ( 2 x )}{2 cos ( x ) ( 1 - cos ( x ) )}

(5 x + 8 x^{3} - x^{2} + 9) l e f t (4 x - 5)

What is (16+tan(x))(16-tan(x))+sec^2(x) ?
The solution to (16+tan(x))(16-tan(x))+sec^2(x) is 257