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

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

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

simplify

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

cos (x)

Solution steps

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

Simplify

1 - sin^{2} (x) : cos^{2} (x)

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Cancel the common factor:

cos (x)

= cos (x)

- 4 \cdot (- 9)

23 \cdot 5

\frac{56}{84}

(3 - 5 b) (3 + 5 b)

11 - \frac{- 4 ( x - 11 )}{4}