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Popular >

simplify cos^2(arcsin(x))

Solution

simplify

cos^{2} (arcsin (x))

Solution

- x^{2} + 1

Solution steps

cos^{2} (arcsin (x))

Simplify

cos (arcsin (x)) : - x^{2} + 1

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

= (- x^{2} + 1)^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= - x^{2} + 1

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Frequently Asked Questions (FAQ)

What is cos^2(arcsin(x)) ?
The solution to cos^2(arcsin(x)) is -x^2+1