What is sqrt(a^2-((asin(x)))^2) ?

The solution to sqrt(a^2-((asin(x)))^2) is asqrt(cos^2(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(a^2-((asin(x)))^2)

simplify

a^{2} - ((a sin (x)))^{2}

a cos^{2} (x)

Solution steps

a^{2} - (a sin (x))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

Factor out common term

a^{2}

= a^{2} (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= a^{2} - sin^{2} (x) + 1

Apply radical rule:

assuming

a \geq 0

a^{2} = a

= a - sin^{2} (x) + 1

Rewrite using trig identities

= cos^{2} (x) a

tan (16 π - x)

tan (nπ - θ)

sin (- 1 x d x)

tan (2 x + \frac{π}{4})

8 - (2 (2 sin (x))^{2})

What is sqrt(a^2-((asin(x)))^2) ?
The solution to sqrt(a^2-((asin(x)))^2) is asqrt(cos^2(x))