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Popular >

simplify (1-cos^2(x))^3

Solution

simplify

(1 - cos^{2} (x))^{3}

Solution

sin^{6} (x)

Solution steps

(1 - cos^{2} (x))^{3}

Simplify

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

= (sin^{2} (x))^{3}

Apply exponent rule:

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

assuming

a \geq 0

= sin^{2 \cdot 3} (x)

Multiply the numbers:

2 \cdot 3 = 6

= sin^{6} (x)

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Frequently Asked Questions (FAQ)

What is (1-cos^2(x))^3 ?
The solution to (1-cos^2(x))^3 is sin^6(x)