Solve (4(sec^2(x)-4))

Evaluate

4 (sec^{2} (x) - 4)

Use the the distributive property to expand the expression

4 sec^{2} (x) + 4 (- 4)

Multiply the numbers

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4 sec^{2} (x) - 16

Calculate

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\frac{4}{cos ^{2} ( x )} - 16

Calculate

\frac{4 - 16 cos ^{2} ( x )}{cos ^{2} ( x )}

Rewrite the expression

(4 - 16 cos^{2} (x)) cos^{- 2} (x)

Rewrite the expression

4 cos^{- 2} (x) - 16

Calculate

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4 + 4 tan^{2} (x) - 16

Calculate

- 12 + 4 tan^{2} (x)

Calculate

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- 12 + 4 sec^{2} (x) - 4

Solution

- 16 + 4 sec^{2} (x)

Simplify the expression