What is expand (sin(x)cos(x)+1)^2 ?

The solution to expand (sin(x)cos(x)+1)^2 is cos^2(x)sin^2(x)+sin(2x)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (sin(x)cos(x)+1)^2

expand

(sin (x) cos (x) + 1)^{2}

cos^{2} (x) sin^{2} (x) + sin (2 x) + 1

Solution steps

(sin (x) cos (x) + 1)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

(sin (x) cos (x))^{2} + 2 sin (x) cos (x) \cdot 1 + 1^{2} : cos^{2} (x) sin^{2} (x) + sin (2 x) + 1

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

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

(- 1 + i)^{9}

(- x y + \frac{5}{8}) (\frac{3}{4} - x y)

(2 x + 12) \cdot (- 0.5)

(2 + 3 y + y^{2})^{5}

What is expand (sin(x)cos(x)+1)^2 ?
The solution to expand (sin(x)cos(x)+1)^2 is cos^2(x)sin^2(x)+sin(2x)+1