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Popular >

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

Solution

simplify

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

Solution

tan^{4} (x)

Solution steps

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

Simplify

sec^{2} (x) - 1 : tan^{2} (x)

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

Apply exponent rule:

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

assuming

a \geq 0

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

Multiply the numbers:

2 \cdot 2 = 4

= tan^{4} (x)

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Frequently Asked Questions (FAQ)

What is (sec^2(x)-1)^2 ?
The solution to (sec^2(x)-1)^2 is tan^4(x)