What is (cos(x))/(sec(x)+1)+(cos(x))/(sec(x)-1) ?

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

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simplify (cos(x))/(sec(x)+1)+(cos(x))/(sec(x)-1)

simplify

\frac{cos ( x )}{sec ( x ) + 1} + \frac{cos ( x )}{sec ( x ) - 1}

2 cot^{2} (x)

Solution steps

\frac{cos ( x )}{sec ( x ) + 1} + \frac{cos ( x )}{sec ( x ) - 1}

Join

\frac{cos ( x )}{sec ( x ) + 1} + \frac{cos ( x )}{sec ( x ) - 1} : \frac{2}{( sec ( x ) + 1 ) ( sec ( x ) - 1 )}

= \frac{2}{( sec ( x ) + 1 ) ( sec ( x ) - 1 )}

Simplify

(sec (x) + 1) (sec (x) - 1) : tan^{2} (x)

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

Use the basic trigonometric identity:

\frac{1}{tan ( x )} = cot (x)

= 2 cot^{2} (x)

8 + 27 n^{3}

\frac{5}{2} - \frac{7}{4}

28 \times 9

28 \times 8

\frac{20}{10 - 6}

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