en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-cos^2(x))^2

Solution

simplify

(1 - cos^{2} (x))^{2}

Solution

sin^{4} (x)

Solution steps

(1 - cos^{2} (x))^{2}

Simplify

1 - cos^{2} (x) : sin^{2} (x)

= (sin^{2} (x))^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= sin^{2 \cdot 2} (x)

Multiply the numbers:

2 \cdot 2 = 4

= sin^{4} (x)

Popular Examples

simplify (1+i)/(1-\frac{1+i){1-(1-i)/(1+i)}}simplify

\frac{1 + i}{1 - \frac{1 + i}{1 - \frac{1 - i}{1 + i}}}

simplify tan(x)cot(x)-cos^2(x)simplify

tan (x) cot (x) - cos^{2} (x)

simplify (2a)/b+a/(2b)-a/b+(2a)/(3b)simplify

\frac{2 a}{b} + \frac{a}{2 b} - \frac{a}{b} + \frac{2 a}{3 b}

simplify 8/(6+sqrt(7))simplify

\frac{8}{6 + 7}

simplify sqrt((-3)^2)-7 simplify

(- 3)^{2} - 7

Frequently Asked Questions (FAQ)

What is (1-cos^2(x))^2 ?
The solution to (1-cos^2(x))^2 is sin^4(x)