What is (2(sec^2(a)+1))/((sec^2(a)-1)) ?

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

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simplify (2(sec^2(a)+1))/((sec^2(a)-1))

simplify

\frac{2 ( sec ^{2} ( a ) + 1 )}{( sec ^{2} ( a ) - 1 )}

2 cot^{2} (a) (sec^{2} (a) + 1)

Solution steps

\frac{2 ( sec ^{2} ( a ) + 1 )}{sec ^{2} ( a ) - 1}

Simplify

sec^{2} (a) - 1 : tan^{2} (a)

= \frac{2 ( sec ^{2} ( a ) + 1 )}{tan ^{2} ( a )}

Use the basic trigonometric identity:

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

= 2 cot^{2} (a) (sec^{2} (a) + 1)

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

(arccot (x))^{2} - 8 arccot (x)

0 t + 2 (5 + x) - (8 + x) \cdot (z + x)^{2}

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

(\frac{a}{4} - \frac{b}{2} + 1)^{2}

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