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

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

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

simplify

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

sec^{2} (x)

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

1^{2} = 1

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

Use the basic trigonometric identity:

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

= sec^{2} (x)

\frac{1}{x - 2} - \frac{1}{x + 2}

(1 + cos (θ)) (1 - cos (θ))

\frac{( 3 y ) ^{4}}{3 y ^{- 1}}

120 - (- 30)

\frac{44}{11}