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Popular >

simplify (1-sin^2(x))^{1/2}

Solution

simplify

(1 - sin^{2} (x))^{\frac{1}{2}}

Solution

cos (x)

Solution steps

(1 - sin^{2} (x))^{\frac{1}{2}}

Simplify

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= cos (x)

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Frequently Asked Questions (FAQ)

What is (1-sin^2(x))^{1/2} ?
The solution to (1-sin^2(x))^{1/2} is cos(x)