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

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

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simplify (1/(cos(x)))/(cos(x))

simplify

\frac{\frac{1}{c o s ( x )}}{cos ( x )}

sec^{2} (x)

Solution steps

\frac{\frac{1}{c o s ( x )}}{cos ( x )}

Apply the fraction rule:

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

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

Apply exponent rule:

aa = a^{2}

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

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

Use the basic trigonometric identity:

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

= sec^{2} (x)

(8 x + 1) (8 x - 1)

1 - \frac{7}{3}

27 + 212

\frac{2 ^{10}}{2 ^{7}}

(3 y - 4) (2 y + 7) + 11 y - 9

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