What is 1/(cos^2(x)) 1/x ?

The solution to 1/(cos^2(x)) 1/x is (sec^2(x))/x

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simplify 1/(cos^2(x)) 1/x

simplify

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

\frac{sec ^{2} ( x )}{x}

Solution steps

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

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Apply rule:

1 \cdot a = a

1 \cdot sec^{2} (x) = sec^{2} (x)

= \frac{sec ^{2} ( x )}{x}

(2 r + 1)^{3}

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