What is tan(x)+(cos(x))/(1+sin(x)) ?

The solution to tan(x)+(cos(x))/(1+sin(x)) is sec(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify tan(x)+(cos(x))/(1+sin(x))

simplify

tan (x) + \frac{cos ( x )}{1 + sin ( x )}

sec (x)

Solution steps

tan (x) + \frac{cos ( x )}{1 + sin ( x )}

Join

tan (x) + \frac{cos ( x )}{1 + sin ( x )} : \frac{tan ( x ) ( sin ( x ) + 1 ) + cos ( x )}{1 + sin ( x )}

= \frac{tan ( x ) ( sin ( x ) + 1 ) + cos ( x )}{1 + sin ( x )}

Express with sin, cos

= \frac{cos ^{2} ( x ) + ( 1 + sin ( x ) ) sin ( x )}{( 1 + sin ( x ) ) cos ( x )}

Rewrite using trig identities

= sec (x)

2 \times 2

(x + 5) (x + 7)

\frac{3}{36}

lo g_{10} (1 0^{2})

7 x^{3} (5 x^{2} + 3 x + 1)

What is tan(x)+(cos(x))/(1+sin(x)) ?
The solution to tan(x)+(cos(x))/(1+sin(x)) is sec(x)