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Popular >

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

Solution

simplify

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

Solution

cos^{4} (x)

Solution steps

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

Simplify

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Multiply the numbers:

2 \cdot 2 = 4

= cos^{4} (x)

Popular Examples

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\frac{\frac{x - 5}{6}}{\frac{2 x - 10}{12}}

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(7 a^{6} + 12 a)^{2}

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1 \frac{2}{3} \cdot 1 \frac{2}{3}

Frequently Asked Questions (FAQ)

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