What is (4cos(x))/(cos^3(x)) ?

The solution to (4cos(x))/(cos^3(x)) is 4sec^2(x)

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simplify (4cos(x))/(cos^3(x))

simplify

\frac{4 cos ( x )}{cos ^{3} ( x )}

4 sec^{2} (x)

Solution steps

\frac{4 cos ( x )}{cos ^{3} ( x )}

Simplify

\frac{cos ( x )}{cos ^{3} ( x )} : \frac{1}{cos ^{2} ( x )}

= \frac{4}{cos ^{2} ( x )}

Use the basic trigonometric identity:

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

= 4 sec^{2} (x)

16 x^{2} - (3 x + 1)^{2}

8 - \frac{2}{3} \times (216) \frac{1}{3} (125) - \frac{1}{2}

\frac{3}{x _{2}} x + 1 + \frac{2}{x _{1}}

\frac{1}{sec ( a )} - \frac{1}{tan ( a )}

(\frac{1}{2 - 2 x})^{5}

What is (4cos(x))/(cos^3(x)) ?
The solution to (4cos(x))/(cos^3(x)) is 4sec^2(x)